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9975746232 = 2332960114431
BaseRepresentation
bin10010100101001100…
…11100111010111000
3221202020010102012200
421102212130322320
5130412242334412
64325514510200
7502131305154
oct112246347270
927666112180
109975746232
11425a059881
121b24a35360
13c2c977b2a
146a8c4c064
153d5bbb9dc
hex25299ceb8

9975746232 has 48 divisors (see below), whose sum is σ = 27022332480. Its totient is φ = 3324672000.

The previous prime is 9975746219. The next prime is 9975746239. The reversal of 9975746232 is 2326475799.

9975746232 is a `hidden beast` number, since 9 + 9 + 7 + 5 + 7 + 4 + 623 + 2 = 666.

9975746232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975746239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684057 + ... + 698487.

It is an arithmetic number, because the mean of its divisors is an integer number (562965260).

Almost surely, 29975746232 is an apocalyptic number.

It is an amenable number.

9975746232 is an abundant number, since it is smaller than the sum of its proper divisors (17046586248).

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

9975746232 is a wasteful number, since it uses less digits than its factorization.

9975746232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24044 (or 24037 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 9975746232 is about 99878.6575400371. The cubic root of 9975746232 is about 2152.6915080089.

The spelling of 9975746232 in words is "nine billion, nine hundred seventy-five million, seven hundred forty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 9601 14431 19202 28803 28862 38404 43293 57606 57724 76808 86409 86586 115212 115448 129879 172818 173172 230424 259758 345636 346344 519516 691272 1039032 138552031 277104062 415656093 554208124 831312186 1108416248 1246968279 1662624372 2493936558 3325248744 4987873116 9975746232