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45045093132 = 223213140968311
BaseRepresentation
bin101001111100111001…
…011001001100001100
311022021021021211012200
4221330321121030030
51214223020440012
632405440401500
73153154655064
oct517471311414
9138237254180
1045045093132
11181158651a6
128891616290
13432b36bc80
14227464a3a4
1512898993dc
hexa7ce5930c

45045093132 has 72 divisors (see below), whose sum is σ = 122711578080. Its totient is φ = 13849989120.

The previous prime is 45045093131. The next prime is 45045093133. The reversal of 45045093132 is 23139054054.

45045093132 is a `hidden beast` number, since 4 + 504 + 50 + 93 + 13 + 2 = 666.

45045093132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45045093131) and next prime (45045093133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45045093131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625257 + ... + 693567.

Almost surely, 245045093132 is an apocalyptic number.

It is an amenable number.

45045093132 is an abundant number, since it is smaller than the sum of its proper divisors (77666484948).

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

45045093132 is a wasteful number, since it uses less digits than its factorization.

45045093132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69743 (or 69738 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 45045093132 in words is "forty-five billion, forty-five million, ninety-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1409 2818 4227 5636 8454 12681 16908 18317 25362 36634 50724 54951 68311 73268 109902 136622 164853 204933 219804 273244 329706 409866 614799 659412 819732 888043 1229598 1776086 2459196 2664129 3552172 5328258 7992387 10656516 15984774 31969548 96250199 192500398 288750597 385000796 577501194 866251791 1155002388 1251252587 1732503582 2502505174 3465007164 3753757761 5005010348 7507515522 11261273283 15015031044 22522546566 45045093132