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132126465612504 = 233115317354583819
BaseRepresentation
bin11110000010101100010111…
…000011000101101011011000
3122022211011111120012220012010
4132002230113003011223120
5114304230000144100004
61145002021011545520
736554551663163256
oct3602542703055330
9568734446186163
10132126465612504
1139110579343540
121299abb1bbb2a0
13589561a6a471c
14248ad529675d6
151041da4e88a89
hex782b170c5ad8

132126465612504 has 128 divisors (see below), whose sum is σ = 369266092358400. Its totient is φ = 39055813455360.

The previous prime is 132126465612487. The next prime is 132126465612539. The reversal of 132126465612504 is 405216564621231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24871294 + ... + 29712525.

It is an arithmetic number, because the mean of its divisors is an integer number (2884891346550).

Almost surely, 2132126465612504 is an apocalyptic number.

It is an amenable number.

132126465612504 is an abundant number, since it is smaller than the sum of its proper divisors (237139626745896).

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

132126465612504 is a wasteful number, since it uses less digits than its factorization.

132126465612504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54584065 (or 54584061 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 132126465612504 in words is "one hundred thirty-two trillion, one hundred twenty-six billion, four hundred sixty-five million, six hundred twelve thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 173 212 264 318 346 424 519 583 636 692 1038 1166 1272 1384 1749 1903 2076 2332 3498 3806 4152 4664 5709 6996 7612 9169 11418 13992 15224 18338 22836 27507 36676 45672 55014 73352 100859 110028 201718 220056 302577 403436 605154 806872 1210308 2420616 54583819 109167638 163751457 218335276 327502914 436670552 600422009 655005828 1200844018 1310011656 1801266027 2401688036 2892942407 3602532054 4803376072 5785884814 7205064108 8678827221 9443000687 11571769628 14410128216 17357654442 18886001374 23143539256 28329002061 31822366477 34715308884 37772002748 56658004122 63644732954 69430617768 75544005496 95467099431 103873007557 113316008244 127289465908 190934198862 207746015114 226632016488 254578931816 311619022671 381868397724 415492030228 500479036411 623238045342 763736795448 830984060456 1000958072822 1246476090684 1501437109233 2001916145644 2492952181368 3002874218466 4003832291288 5505269400521 6005748436932 11010538801042 12011496873864 16515808201563 22021077602084 33031616403126 44042155204168 66063232806252 132126465612504