Solve 4^{61}+4^62+4^63+4^64+4^66

$$4 ^ { 61 } + 4 ^ { 62 } + 4 ^ { 63 } + 4 ^ { 64 } + 4 ^ { 66 }$$

Evaluate

$$5896455389301886812201288119403608539136$$

Solution Steps

Calculate 4 to the power of 61 and get 5316911983139663491615228241121378304.

$$5316911983139663491615228241121378304+4^{62}+4^{63}+4^{64}+4^{66}$$

Calculate 4 to the power of 62 and get 21267647932558653966460912964485513216.

$$5316911983139663491615228241121378304+21267647932558653966460912964485513216+4^{63}+4^{64}+4^{66}$$

Add 5316911983139663491615228241121378304 and 21267647932558653966460912964485513216 to get 26584559915698317458076141205606891520.

$$26584559915698317458076141205606891520+4^{63}+4^{64}+4^{66}$$

Calculate 4 to the power of 63 and get 85070591730234615865843651857942052864.

$$26584559915698317458076141205606891520+85070591730234615865843651857942052864+4^{64}+4^{66}$$

Add 26584559915698317458076141205606891520 and 85070591730234615865843651857942052864 to get 111655151645932933323919793063548944384.

$$111655151645932933323919793063548944384+4^{64}+4^{66}$$

Calculate 4 to the power of 64 and get 340282366920938463463374607431768211456.

$$111655151645932933323919793063548944384+340282366920938463463374607431768211456+4^{66}$$

Add 111655151645932933323919793063548944384 and 340282366920938463463374607431768211456 to get 451937518566871396787294400495317155840.

$$451937518566871396787294400495317155840+4^{66}$$

Calculate 4 to the power of 66 and get 5444517870735015415413993718908291383296.

$$451937518566871396787294400495317155840+5444517870735015415413993718908291383296$$

Add 451937518566871396787294400495317155840 and 5444517870735015415413993718908291383296 to get 5896455389301886812201288119403608539136.

$$5896455389301886812201288119403608539136$$

Factor

$$2^{122}\times 1109$$