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132220305532692 = 22321323109112693267
BaseRepresentation
bin11110000100000011110000…
…010101111110011100010100
3122100011010201102120202112200
4132010003300111332130110
5114312244141204021232
61145113100403044500
736564413300302356
oct3604036025763424
9570133642522480
10132220305532692
1139147353551493
12129b5220970730
1358a1423bca510
1424916d58290d6
1510445484b977c
hex7840f057e714

132220305532692 has 144 divisors (see below), whose sum is σ = 379028029860480. Its totient is φ = 38557324802304.

The previous prime is 132220305532657. The next prime is 132220305532697. The reversal of 132220305532692 is 296235503022231.

132220305532692 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 0 + 3 + 0 + 553 + 2 + 6 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220305532697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55173358 + ... + 57519909.

Almost surely, 2132220305532692 is an apocalyptic number.

132220305532692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132220305532692 is an abundant number, since it is smaller than the sum of its proper divisors (246807724327788).

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

132220305532692 is a wasteful number, since it uses less digits than its factorization.

132220305532692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112693422 (or 112693417 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 132220305532692 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred five million, five hundred thirty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 109 117 138 156 207 218 234 276 299 327 414 436 468 598 654 828 897 981 1196 1308 1417 1794 1962 2507 2691 2834 3588 3924 4251 5014 5382 5668 7521 8502 10028 10764 12753 15042 17004 22563 25506 30084 32591 45126 51012 65182 90252 97773 130364 195546 293319 391092 586638 1173276 112693267 225386534 338079801 450773068 676159602 1014239403 1352319204 1465012471 2028478806 2591945141 2930024942 4056957612 4395037413 5183890282 5860049884 7775835423 8790074826 10367780564 12283566103 13185112239 15551670846 17580149652 23327506269 24567132206 26370224478 31103341692 33695286833 36850698309 46655012538 49134264412 52740448956 67390573666 73701396618 93310025076 101085860499 110552094927 134781147332 147402793236 159686359339 202171720998 221104189854 282522020369 303257581497 319372718678 404343441996 442208379708 479059078017 565044040738 606515162994 638745437356 847566061107 958118156034 1130088081476 1213030325988 1437177234051 1695132122214 1916236312068 2542698183321 2874354468102 3390264244428 3672786264797 5085396366642 5748708936204 7345572529594 10170792733284 11018358794391 14691145059188 22036717588782 33055076383173 44073435177564 66110152766346 132220305532692