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Problem 16

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Power digit sum

$2^{15}=32768$ and the sum of its digits is $3 + 2 + 7 + 6 + 8 = 26$.

What is the sum of the digits of the number $2^{1000}$?

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幂的数字和

$2^{15}=32768$，而$32768$的各位数字之和是 $3 + 2 + 7 + 6 + 8 = 26$。

$2^{1000}$的各位数字之和是多少？

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