Project Euler

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# [[Problem 56]]

## Powerful Digit Sum

A googol ($10^{100}$) is a massive number: one followed by one-hundred zeros; $100^{100}$ is almost unimaginably large: one followed by two-hundred zeros. Despite their size, the sum of the digits in each number is only $1$.

Considering natural numbers of the form, $a^b$, where $a, b \lt 100$, what is the maximum digital sum?

## もっとべき乗の数字和

Googol ($10^{100}$)は非常に大きな数である: 1の後に0が100個続く. $100^{100}$は想像を絶する. 1の後に0が200回続く. その大きさにも関わらず, 両者とも数字和 ( 桁の和 ) は$1$である.

$a, b \lt 100$ について自然数 $a^b$ を考える. 数字和の最大値を答えよ.

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