Search a number
-
+
132256313160520 = 23523612356669871
BaseRepresentation
bin11110000100100101010010…
…100100001011001101001000
3122100021120122212021210000011
4132010211102210023031020
5114313341412132114040
61145141413403321304
736600126506136223
oct3604452244131510
9570246585253004
10132256313160520
113916065095619a
1212a001ab820234
1358a4941acc283
14249334daaa5ba
1510454547363ea
hex78495290b348

132256313160520 has 64 divisors (see below), whose sum is σ = 315605229258240. Its totient is φ = 49772867654400.

The previous prime is 132256313160511. The next prime is 132256313160541. The reversal of 132256313160520 is 25061313652231.

132256313160520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 1178278816 + ... + 1178391055.

It is an arithmetic number, because the mean of its divisors is an integer number (4931331707160).

Almost surely, 2132256313160520 is an apocalyptic number.

132256313160520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132256313160520 is an abundant number, since it is smaller than the sum of its proper divisors (183348916097720).

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

132256313160520 is a wasteful number, since it uses less digits than its factorization.

132256313160520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356669966 (or 2356669962 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 132256313160520 in words is "one hundred thirty-two trillion, two hundred fifty-six billion, three hundred thirteen million, one hundred sixty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 244 305 460 488 610 920 1220 1403 2440 2806 5612 7015 11224 14030 28060 56120 2356669871 4713339742 9426679484 11783349355 18853358968 23566698710 47133397420 54203407033 94266794840 108406814066 143756862131 216813628132 271017035165 287513724262 433627256264 542034070330 575027448524 718784310655 1084068140660 1150054897048 1437568621310 2168136281320 2875137242620 3306407829013 5750274485240 6612815658026 13225631316052 16532039145065 26451262632104 33064078290130 66128156580260 132256313160520