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45144215496 = 233217311189759
BaseRepresentation
bin101010000010110011…
…100000111111001000
311022112011210202112100
4222002303200333020
51214423404343441
632423341113400
73155500333422
oct520263407710
9138464722470
1045144215496
1118166807306
1288ba858860
134345a66163
14228388d812
151293428cb6
hexa82ce0fc8

45144215496 has 96 divisors (see below), whose sum is σ = 133633843200. Its totient is φ = 13706012160.

The previous prime is 45144215483. The next prime is 45144215549. The reversal of 45144215496 is 69451244154.

45144215496 is a `hidden beast` number, since 4 + 5 + 144 + 2 + 15 + 496 = 666.

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, 556936 + ... + 632823.

It is an arithmetic number, because the mean of its divisors is an integer number (1392019200).

Almost surely, 245144215496 is an apocalyptic number.

It is an amenable number.

45144215496 is an abundant number, since it is smaller than the sum of its proper divisors (88489627704).

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

45144215496 is a wasteful number, since it uses less digits than its factorization.

45144215496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189819 (or 1189812 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 45144215496 in words is "forty-five billion, one hundred forty-four million, two hundred fifteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1581 2108 2232 3162 4216 4743 6324 9486 12648 18972 37944 1189759 2379518 3569277 4759036 7138554 9518072 10707831 14277108 20225903 21415662 28554216 36882529 40451806 42831324 60677709 73765058 80903612 85662648 110647587 121355418 147530116 161807224 182033127 221295174 242710836 295060232 331942761 364066254 442590348 485421672 627002993 663885522 728132508 885180696 1254005986 1327771044 1456265016 1881008979 2508011972 2655542088 3762017958 5016023944 5643026937 7524035916 11286053874 15048071832 22572107748 45144215496