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9137830464 = 2632725692
BaseRepresentation
bin10001000001010100…
…00011101001000000
3212120211102212212100
420200222003221000
5122203241033324
64110423230400
7442305164100
oct104052035100
925524385770
109137830464
11396a081304
1219302a8400
13b281aac99
14629853200
153873554c9
hex220a83a40

9137830464 has 189 divisors, whose sum is σ = 30521817417. Its totient is φ = 2606220288.

The previous prime is 9137830459. The next prime is 9137830501. The reversal of 9137830464 is 4640387319.

The square root of 9137830464 is 95592.

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

9137830464 is a `hidden beast` number, since 91 + 3 + 78 + 30 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1506060864 + 7631769600 = 38808^2 + 87360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16059172 + ... + 16059740.

Almost surely, 29137830464 is an apocalyptic number.

9137830464 is the 95592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9137830464

9137830464 is an abundant number, since it is smaller than the sum of its proper divisors (21383986953).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9137830464 is an equidigital number, since it uses as much as digits as its factorization.

9137830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 9137830464 is about 2090.6485524933.

The spelling of 9137830464 in words is "nine billion, one hundred thirty-seven million, eight hundred thirty thousand, four hundred sixty-four".