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107040806874 = 232293154112227
BaseRepresentation
bin110001110110000100…
…0010001011111011010
3101020021212011101112200
41203230020101133122
53223204421304444
6121101315551030
710506366563151
oct1435410213732
9336255141480
10107040806874
1141439821561
12188b38bb476
13a12b402561
1452761a0598
152bb7414969
hex18ec2117da

107040806874 has 96 divisors (see below), whose sum is σ = 248136445440. Its totient is φ = 33274281600.

The previous prime is 107040806857. The next prime is 107040806893. The reversal of 107040806874 is 478608040701.

It is a super-2 number, since 2×1070408068742 (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 47 ways as a sum of consecutive naturals, for example, 8748349 + ... + 8760575.

It is an arithmetic number, because the mean of its divisors is an integer number (2584754640).

Almost surely, 2107040806874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107040806874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124068222720).

107040806874 is an abundant number, since it is smaller than the sum of its proper divisors (141095638566).

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

107040806874 is a wasteful number, since it uses less digits than its factorization.

107040806874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12836 (or 12833 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 107040806874 in words is "one hundred seven billion, forty million, eight hundred six thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 541 558 899 1082 1623 1798 2697 3246 4869 5394 8091 9738 12227 15689 16182 16771 24454 31378 33542 36681 47067 50313 73362 94134 100626 110043 141201 150939 220086 282402 301878 354583 379037 486359 709166 758074 972718 1063749 1137111 1459077 2127498 2274222 2918154 3191247 3411333 4377231 6382494 6614807 6822666 8754462 10992073 13229614 19844421 21984146 32976219 39688842 59533263 65952438 98928657 119066526 191829403 197857314 205059017 383658806 410118034 575488209 615177051 1150976418 1230354102 1726464627 1845531153 3452929254 3691062306 5946711493 11893422986 17840134479 35680268958 53520403437 107040806874