Search a number
-
+
112517980968 = 23336745727953
BaseRepresentation
bin110100011001010011…
…0000010001100101000
3101202102120102122220110
41220302212002030220
53320414100342333
6123405014454320
711062205025561
oct1506246021450
9352376378813
10112517980968
114379a515518
12199820643a0
13a7c2083783
145635795168
152dd81c6063
hex1a32982328

112517980968 has 64 divisors (see below), whose sum is σ = 282688738560. Its totient is φ = 37320615936.

The previous prime is 112517980931. The next prime is 112517980997. The reversal of 112517980968 is 869089715211.

It is a Cunningham number, because it is equal to 3354372-1.

It is a super-2 number, since 2×1125179809682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4011280 + ... + 4039232.

It is an arithmetic number, because the mean of its divisors is an integer number (4417011540).

Almost surely, 2112517980968 is an apocalyptic number.

It is an amenable number.

112517980968 is an abundant number, since it is smaller than the sum of its proper divisors (170170757592).

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

112517980968 is a wasteful number, since it uses less digits than its factorization.

112517980968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28786 (or 28782 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 57.

The spelling of 112517980968 in words is "one hundred twelve billion, five hundred seventeen million, nine hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 367 457 734 914 1101 1371 1468 1828 2202 2742 2936 3656 4404 5484 8808 10968 27953 55906 83859 111812 167718 167719 223624 335436 335438 503157 670872 670876 1006314 1341752 2012628 4025256 10258751 12774521 20517502 25549042 30776253 38323563 41035004 51098084 61552506 76647126 82070008 102196168 123105012 153294252 246210024 306588504 4688249207 9376498414 14064747621 18752996828 28129495242 37505993656 56258990484 112517980968