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13612626421164 = 2233288746499391
BaseRepresentation
bin1100011000010110111111…
…0000110010010110101100
31210012100120100012020102000
43012011233300302112230
53241012124330434124
644541315414532300
72603323400304051
oct306055760622654
953170510166360
1013612626421164
11437909a809401
12163a275067090
13779885497044
14350bd718b028
15189167c616c9
hexc616fc325ac

13612626421164 has 96 divisors (see below), whose sum is σ = 35315572992000. Its totient is φ = 4534511829120.

The previous prime is 13612626421123. The next prime is 13612626421223. The reversal of 13612626421164 is 46112462621631.

13612626421164 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 2 + 62 + 6 + 421 + 164 = 666.

13612626421164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136126264211642 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1449534909 + ... + 1449544299.

It is an arithmetic number, because the mean of its divisors is an integer number (367870552000).

Almost surely, 213612626421164 is an apocalyptic number.

It is an amenable number.

13612626421164 is an abundant number, since it is smaller than the sum of its proper divisors (21702946570836).

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

13612626421164 is a wasteful number, since it uses less digits than its factorization.

13612626421164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16940 (or 16932 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 13612626421164 in words is "thirteen trillion, six hundred twelve billion, six hundred twenty-six million, four hundred twenty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2887 4649 5774 8661 9298 9391 11548 13947 17322 18596 18782 25983 27894 28173 34644 37564 41841 51966 55788 56346 77949 83682 84519 103932 112692 125523 155898 167364 169038 251046 253557 311796 338076 502092 507114 1014228 13421663 26843326 27111817 40264989 43658759 53686652 54223634 80529978 81335451 87317518 108447268 120794967 130976277 161059956 162670902 174635036 241589934 244006353 261952554 325341804 362384901 392928831 483179868 488012706 523905108 724769802 732019059 785857662 976025412 1178786493 1449539604 1464038118 1571715324 2357572986 2928076236 4715145972 126042837233 252085674466 378128511699 504171348932 756257023398 1134385535097 1512514046796 2268771070194 3403156605291 4537542140388 6806313210582 13612626421164