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9931716964 = 2213238332
BaseRepresentation
bin10010011111111100…
…11111100101100100
3221122011021111102001
421033332133211210
5130320004420324
64321303055044
7501055126021
oct111776374544
927564244361
109931716964
114237216a54
121b12141484
13c23800300
146a306a548
153d1dc0e44
hex24ff9f964

9931716964 has 27 divisors (see below), whose sum is σ = 18825221163. Its totient is φ = 4582673472.

The previous prime is 9931716961. The next prime is 9931716967. The reversal of 9931716964 is 4696171399.

It is a happy number.

The square root of 9931716964 is 99658.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (9931716961) and next prime (9931716967).

It can be written as a sum of positive squares in 4 ways, for example, as 4039619364 + 5892097600 = 63558^2 + 76760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9931716961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2589192 + ... + 2593024.

Almost surely, 29931716964 is an apocalyptic number.

9931716964 is the 99658-th square number.

It is an amenable number.

9931716964 is a deficient number, since it is larger than the sum of its proper divisors (8893504199).

9931716964 is an equidigital number, since it uses as much as digits as its factorization.

9931716964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7696 (or 3848 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 55.

The cubic root of 9931716964 is about 2149.5197747709.

It can be divided in two parts, 99317 and 16964, that added together give a square (116281 = 3412).

The spelling of 9931716964 in words is "nine billion, nine hundred thirty-one million, seven hundred sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 4 13 26 52 169 338 676 3833 7666 15332 49829 99658 199316 647777 1295554 2591108 14691889 29383778 58767556 190994557 381989114 763978228 2482929241 4965858482 9931716964