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105713458844 = 22727113931663
BaseRepresentation
bin110001001110100000…
…0110101111010011100
3101002212100112010100112
41202131000311322130
53213000121140334
6120321502145152
710431451400630
oct1423500657234
9332770463315
10105713458844
1140918545314
12185a32821b8
139c79410716
14518bba0dc0
152b3ab214ce
hex189d035e9c

105713458844 has 24 divisors (see below), whose sum is σ = 212207106048. Its totient is φ = 45138584880.

The previous prime is 105713458813. The next prime is 105713458861. The reversal of 105713458844 is 448854317501.

It is a super-2 number, since 2×1057134588442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105713458792 and 105713458801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6958244 + ... + 6973419.

It is an arithmetic number, because the mean of its divisors is an integer number (8841962752).

Almost surely, 2105713458844 is an apocalyptic number.

105713458844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105713458844 is an abundant number, since it is smaller than the sum of its proper divisors (106493647204).

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

105713458844 is a wasteful number, since it uses less digits than its factorization.

105713458844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13931945 (or 13931943 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 50.

The spelling of 105713458844 in words is "one hundred five billion, seven hundred thirteen million, four hundred fifty-eight thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 271 542 1084 1897 3794 7588 13931663 27863326 55726652 97521641 195043282 390086564 3775480673 7550961346 15101922692 26428364711 52856729422 105713458844