794 B
794 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f5191000cf542c51002c | Problem 429: Sum of squares of unitary divisors | 5 | 302099 | problem-429-sum-of-squares-of-unitary-divisors |
--description--
A unitary divisor d of a number n is a divisor of n that has the property gcd(d, n/d) = 1.
The unitary divisors of 4! = 24 are 1, 3, 8 and 24.
The sum of their squares is 12 + 32 + 82 + 242 = 650.
Let S(n) represent the sum of the squares of the unitary divisors of n. Thus S(4!)=650.
Find S(100 000 000!) modulo 1 000 000 009.
--hints--
euler429()
should return 98792821.
assert.strictEqual(euler429(), 98792821);
--seed--
--seed-contents--
function euler429() {
return true;
}
euler429();
--solutions--
// solution required