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131531345504 = 251311312312273
BaseRepresentation
bin111101001111111100…
…0010000111001100000
3110120111122102122201222
41322133320100321200
54123334011024004
6140231421114212
712334316663336
oct1723770207140
9416448378658
10131531345504
1150867019729
12215a96b8968
13c532220330
14651aa0bb56
15364c5007be
hex1e9fe10e60

131531345504 has 96 divisors (see below), whose sum is σ = 281692059264. Its totient is φ = 60094218240.

The previous prime is 131531345497. The next prime is 131531345513. The reversal of 131531345504 is 405543135131.

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 15 ways as a sum of consecutive naturals, for example, 57865712 + ... + 57867984.

It is an arithmetic number, because the mean of its divisors is an integer number (2934292284).

Almost surely, 2131531345504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131531345504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140846029632).

131531345504 is an abundant number, since it is smaller than the sum of its proper divisors (150160713760).

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

131531345504 is a wasteful number, since it uses less digits than its factorization.

131531345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 131531345504 in words is "one hundred thirty-one billion, five hundred thirty-one million, three hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 416 452 904 1231 1469 1808 2273 2462 2938 3616 4546 4924 5876 9092 9848 11752 16003 18184 19696 23504 29549 32006 36368 39392 47008 59098 64012 72736 118196 128024 139103 236392 256048 256849 278206 472784 512096 513698 556412 945568 1027396 1112824 1808339 2054792 2225648 2798063 3339037 3616678 4109584 4451296 5596126 6678074 7233356 8219168 11192252 13356148 14466712 22384504 26712296 28933424 36374819 44769008 53424592 57866848 72749638 89538016 106849184 145499276 290998552 316181119 581997104 632362238 1163994208 1264724476 2529448952 4110354547 5058897904 8220709094 10117795808 16441418188 32882836376 65765672752 131531345504