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232907540904 = 23325857552301
BaseRepresentation
bin1101100011101001011…
…1110000100110101000
3211021011201121222011200
43120322113300212220
512303443312302104
6254555104524200
722553444301333
oct3307227604650
9737151558150
10232907540904
118a8592647a5
1239180320660
1318c69b9547c
14b3b674561a
1560d247bb39
hex363a5f09a8

232907540904 has 48 divisors (see below), whose sum is σ = 630900097620. Its totient is φ = 77622451200.

The previous prime is 232907540903. The next prime is 232907540909. The reversal of 232907540904 is 409045709232.

232907540904 is a `hidden beast` number, since 232 + 9 + 0 + 7 + 5 + 409 + 0 + 4 = 666.

232907540904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 229738076100 + 3169464804 = 479310^2 + 56298^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232907540904.

It is not an unprimeable number, because it can be changed into a prime (232907540903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145554 + ... + 697854.

Almost surely, 2232907540904 is an apocalyptic number.

232907540904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232907540904 is an abundant number, since it is smaller than the sum of its proper divisors (397992556716).

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

232907540904 is a wasteful number, since it uses less digits than its factorization.

232907540904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558170 (or 558163 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 232907540904 in words is "two hundred thirty-two billion, nine hundred seven million, five hundred forty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5857 11714 17571 23428 35142 46856 52713 70284 105426 140568 210852 421704 552301 1104602 1656903 2209204 3313806 4418408 4970709 6627612 9941418 13255224 19882836 39765672 3234826957 6469653914 9704480871 12939307828 19408961742 25878615656 29113442613 38817923484 58226885226 77635846968 116453770452 232907540904