---
id: 5900f3a41000cf542c50feb7
title: 'Problem 56: Powerful digit sum'
challengeType: 5
forumTopicId: 302167
dashedName: problem-56-powerful-digit-sum
---

# --description--

A googol (10<sup>100</sup>) is a massive number: one followed by one-hundred zeros; 100<sup>100</sup> 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, `ab`, where `a`, `b` &lt; 100, what is the maximum digital sum?

# --hints--

`powerfulDigitSum()` should return a number.

```js
assert(typeof powerfulDigitSum() === 'number');
```

`powerfulDigitSum()` should return 972.

```js
assert.strictEqual(powerfulDigitSum(), 972);
```

# --seed--

## --seed-contents--

```js
function powerfulDigitSum() {

  return true;
}

powerfulDigitSum();
```

# --solutions--

```js
// solution required
```
