Search a number
-
+
137571317759691 = 32312515807338297
BaseRepresentation
bin11111010001111011010001…
…100001101011111011001011
3200001002200121200010112201200
4133101323101201223323023
5121012432024321302231
61204331220233515243
740656125333620104
oct3721732141537313
9601080550115650
10137571317759691
113a91a739442432
121351a2abb72b23
135b9bbc548b68a
1425d86b72553ab
1510d882ba38be6
hex7d1ed186becb

137571317759691 has 48 divisors (see below), whose sum is σ = 205977560076288. Its totient is φ = 88386595920000.

The previous prime is 137571317759683. The next prime is 137571317759693. The reversal of 137571317759691 is 196957713175731.

137571317759691 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 7 + 13 + 17 + 7 + 596 + 9 + 1 = 666.

It is not a de Polignac number, because 137571317759691 - 23 = 137571317759683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137571317759693) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406489255 + ... + 406827551.

It is an arithmetic number, because the mean of its divisors is an integer number (4291199168256).

Almost surely, 2137571317759691 is an apocalyptic number.

137571317759691 is a deficient number, since it is larger than the sum of its proper divisors (68406242316597).

137571317759691 is a wasteful number, since it uses less digits than its factorization.

137571317759691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344392 (or 344389 counting only the distinct ones).

The product of its digits is 262549350, while the sum is 72.

The spelling of 137571317759691 in words is "one hundred thirty-seven trillion, five hundred seventy-one billion, three hundred seventeen million, seven hundred fifty-nine thousand, six hundred ninety-one".

Divisors: 1 3 9 31 93 251 279 753 2259 5807 7781 17421 23343 52263 70029 180017 338297 540051 1014891 1457557 1620153 3044673 4372671 10487207 13118013 31461621 45184267 84912547 94384863 135552801 254737641 406658403 764212923 1964490679 2632288957 5893472037 7896866871 17680416111 23690600613 60899211049 182697633147 493087160429 548092899441 1479261481287 4437784443861 15285701973299 45857105919897 137571317759691