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152088379212 = 223711373441281
BaseRepresentation
bin1000110110100100101…
…1000111111101001100
3112112120022010011120210
42031221023013331030
54442434111113322
6153511325442420
713662614615250
oct2155113077514
9475508104523
10152088379212
1159555a1a390
1225586110410
131145a12bac3
14750ac94260
153e520ed70c
hex23692c7f4c

152088379212 has 96 divisors (see below), whose sum is σ = 443626089984. Its totient is φ = 39397478400.

The previous prime is 152088379181. The next prime is 152088379217. The reversal of 152088379212 is 212973880251.

It is a super-2 number, since 2×1520883792122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152088379217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124012 + ... + 565292.

It is an arithmetic number, because the mean of its divisors is an integer number (4621105104).

Almost surely, 2152088379212 is an apocalyptic number.

152088379212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152088379212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221813044992).

152088379212 is an abundant number, since it is smaller than the sum of its proper divisors (291537710772).

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

152088379212 is a wasteful number, since it uses less digits than its factorization.

152088379212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441679 (or 441677 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 152088379212 in words is "one hundred fifty-two billion, eighty-eight million, three hundred seventy-nine thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 373 462 746 924 1119 1492 2238 2611 4103 4476 5222 7833 8206 10444 12309 15666 16412 24618 28721 31332 49236 57442 86163 114884 172326 344652 441281 882562 1323843 1765124 2647686 3088967 4854091 5295372 6177934 9266901 9708182 12355868 14562273 18533802 19416364 29124546 33978637 37067604 58249092 67957274 101935911 135914548 164597813 203871822 329195626 407743644 493793439 658391252 987586878 1152184691 1810575943 1975173756 2304369382 3456554073 3621151886 4608738764 5431727829 6913108146 7242303772 10863455658 12674031601 13826216292 21726911316 25348063202 38022094803 50696126404 76044189606 152088379212