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74155042271232 = 2123213154737251
BaseRepresentation
bin10000110111000110010000…
…111100111111000000000000
3100201120011010101200220101200
4100313012100330333000000
534204424011310134412
6421414204531301200
721422345035142466
oct2067062074770000
9321504111626350
1074155042271232
112169aa8216494a
1283978b174a800
13324ba378c0a20
1414451a209c836
15888e220869dc
hex437190f3f000

74155042271232 has 156 divisors (see below), whose sum is σ = 230676415266024. Its totient is φ = 22816935936000.

The previous prime is 74155042271213. The next prime is 74155042271267. The reversal of 74155042271232 is 23217224055147.

74155042271232 is a `hidden beast` number, since 7 + 4 + 1 + 550 + 4 + 2 + 2 + 71 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (156).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76889394 + ... + 77847857.

It is an arithmetic number, because the mean of its divisors is an integer number (1478694969654).

Almost surely, 274155042271232 is an apocalyptic number.

74155042271232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74155042271232 is an abundant number, since it is smaller than the sum of its proper divisors (156521372994792).

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

74155042271232 is a wasteful number, since it uses less digits than its factorization.

74155042271232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154737294 (or 154737269 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 74155042271232 in words is "seventy-four trillion, one hundred fifty-five billion, forty-two million, two hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4096 4608 4992 6144 6656 7488 9216 9984 12288 13312 14976 18432 19968 26624 29952 36864 39936 53248 59904 79872 119808 159744 239616 479232 154737251 309474502 464211753 618949004 928423506 1237898008 1392635259 1856847012 2011584263 2475796016 2785270518 3713694024 4023168526 4951592032 5570541036 6034752789 7427388048 8046337052 9903184064 11141082072 12069505578 14854776096 16092674104 18104258367 19806368128 22282164144 24139011156 29709552192 32185348208 36208516734 39612736256 44564328288 48278022312 59419104384 64370696416 72417033468 79225472512 89128656576 96556044624 118838208768 128741392832 144834066936 158450945024 178257313152 193112089248 237676417536 257482785664 289668133872 316901890048 356514626304 386224178496 475352835072 514965571328 579336267744 633803780096 713029252608 772448356992 950705670144 1029931142656 1158672535488 1426058505216 1544896713984 1901411340288 2059862285312 2317345070976 2852117010432 3089793427968 4119724570624 4634690141952 5704234020864 6179586855936 8239449141248 9269380283904 12359173711872 18538760567808 24718347423744 37077521135616 74155042271232