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45200131956 = 22327374847719
BaseRepresentation
bin101010000110001000…
…110100011101110100
311022200002000121111100
4222012020310131310
51220032213210311
632433055410100
73160046532240
oct520610643564
9138602017440
1045200131956
1118195329161
128915523930
134354513515
14228b087420
1512982c1a56
hexa86234774

45200131956 has 72 divisors (see below), whose sum is σ = 134107326080. Its totient is φ = 12565285056.

The previous prime is 45200131927. The next prime is 45200131973. The reversal of 45200131956 is 65913100254.

45200131956 is a `hidden beast` number, since 452 + 0 + 0 + 13 + 195 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45200131956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2414536 + ... + 2433183.

Almost surely, 245200131956 is an apocalyptic number.

It is an amenable number.

45200131956 is an abundant number, since it is smaller than the sum of its proper divisors (88907194124).

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

45200131956 is a wasteful number, since it uses less digits than its factorization.

45200131956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847773 (or 4847768 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 45200131956 in words is "forty-five billion, two hundred million, one hundred thirty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 4847719 9695438 14543157 19390876 29086314 33934033 43629471 58172628 67868066 87258942 101802099 135736132 174517884 179365603 203604198 305406297 358731206 407208396 538096809 610812594 717462412 1076193618 1221625188 1255559221 1614290427 2152387236 2511118442 3228580854 3766677663 5022236884 6457161708 7533355326 11300032989 15066710652 22600065978 45200131956