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45813587952 = 2431186768159
BaseRepresentation
bin101010101010101100…
…111101111111110000
311101020211100101220210
4222222230331333300
51222311234303302
633014012104120
73211206033546
oct525254757760
9141224311823
1045813587952
111847a637790
128a66a65040
134421640a32
142308733d96
1512d209b66c
hexaaab3dff0

45813587952 has 40 divisors (see below), whose sum is σ = 129111022080. Its totient is φ = 13882905280.

The previous prime is 45813587893. The next prime is 45813587999. The reversal of 45813587952 is 25978531854.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45813587892 and 45813587901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43383552 + ... + 43384607.

It is an arithmetic number, because the mean of its divisors is an integer number (3227775552).

Almost surely, 245813587952 is an apocalyptic number.

It is an amenable number.

45813587952 is an abundant number, since it is smaller than the sum of its proper divisors (83297434128).

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

45813587952 is a wasteful number, since it uses less digits than its factorization.

45813587952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86768181 (or 86768175 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 57.

The spelling of 45813587952 in words is "forty-five billion, eight hundred thirteen million, five hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 86768159 173536318 260304477 347072636 520608954 694145272 954449749 1041217908 1388290544 1908899498 2082435816 2863349247 3817798996 4164871632 5726698494 7635597992 11453396988 15271195984 22906793976 45813587952