Search a number
-
+
132150634560294 = 23710733478785783
BaseRepresentation
bin11110000011000010110111…
…101000010011101100100110
3122022220110212221100122200120
4132003002313220103230212
5114310123444421412134
61145021055144222410
736556365626641020
oct3603026750235446
9568813787318616
10132150634560294
113911a85105a759
12129a381816aa06
13589799c9a516c
14248c1a67c1010
15104281bbed649
hex7830b7a13b26

132150634560294 has 64 divisors (see below), whose sum is σ = 304972696498176. Its totient is φ = 37393272199584.

The previous prime is 132150634560289. The next prime is 132150634560319. The reversal of 132150634560294 is 492065436051231.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 10648527 + ... + 19434309.

It is an arithmetic number, because the mean of its divisors is an integer number (4765198382784).

Almost surely, 2132150634560294 is an apocalyptic number.

132150634560294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132150634560294 is an abundant number, since it is smaller than the sum of its proper divisors (172822061937882).

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

132150634560294 is a wasteful number, since it uses less digits than its factorization.

132150634560294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8789249.

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 132150634560294 in words is "one hundred thirty-two trillion, one hundred fifty billion, six hundred thirty-four million, five hundred sixty thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 107 214 321 642 749 1498 2247 3347 4494 6694 10041 20082 23429 46858 70287 140574 358129 716258 1074387 2148774 2506903 5013806 7520709 8785783 15041418 17571566 26357349 52714698 61500481 123000962 184501443 369002886 940078781 1880157562 2820236343 5640472686 6580551467 13161102934 19741654401 29406015701 39483308802 58812031402 88218047103 176436094206 205842109907 411684219814 617526329721 1235052659442 3146443680007 6292887360014 9439331040021 18878662080042 22025105760049 44050211520098 66075317280147 132150634560294