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172872532252152 = 23325947984958331
BaseRepresentation
bin100111010011101000000101…
…111000000101010111111000
3211200002110020000011001211100
4213103220011320011113320
5140124320421224032102
61411400313413331400
751261425335112355
oct4723500570052770
9750073200131740
10172872532252152
115009a913751417
121747ba31336b60
13755ca6b2ba575
14309910a50d62c
1514ebc28142a1c
hex9d3a05e055f8

172872532252152 has 96 divisors (see below), whose sum is σ = 477125992512000. Its totient is φ = 56529233782080.

The previous prime is 172872532252087. The next prime is 172872532252237. The reversal of 172872532252152 is 251252235278271.

172872532252152 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 7 + 2 + 532 + 2 + 52 + 1 + 52 = 666.

It is a super-2 number, since 2×1728725322521522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40444374 + ... + 44513957.

It is an arithmetic number, because the mean of its divisors is an integer number (4970062422000).

Almost surely, 2172872532252152 is an apocalyptic number.

172872532252152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

172872532252152 is an abundant number, since it is smaller than the sum of its proper divisors (304253460259848).

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

172872532252152 is a wasteful number, since it uses less digits than its factorization.

172872532252152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84958881 (or 84958874 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 172872532252152 in words is "one hundred seventy-two trillion, eight hundred seventy-two billion, five hundred thirty-two million, two hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 479 531 708 958 1062 1416 1437 1916 2124 2874 3832 4248 4311 5748 8622 11496 17244 28261 34488 56522 84783 113044 169566 226088 254349 339132 508698 678264 1017396 2034792 84958331 169916662 254874993 339833324 509749986 679666648 764624979 1019499972 1529249958 2038999944 3058499916 5012541529 6116999832 10025083058 15037624587 20050166116 30075249174 40100332232 40695040549 45112873761 60150498348 81390081098 90225747522 120300996696 122085121647 162780162196 180451495044 244170243294 325560324392 360902990088 366255364941 488340486588 732510729882 976680973176 1465021459764 2401007392391 2930042919528 4802014784782 7203022177173 9604029569564 14406044354346 19208059139128 21609066531519 28812088708692 43218133063038 57624177417384 86436266126076 172872532252152