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13147974072 = 2332182610751
BaseRepresentation
bin11000011111010111…
…00010100110111000
31020221022020021201200
430033223202212320
5203411340132242
610012354414200
7643550635632
oct141753424670
936838207650
1013147974072
115637763582
12266b291360
131316c4171c
148ca287a52
1551e43104c
hex30fae29b8

13147974072 has 24 divisors (see below), whose sum is σ = 35609096640. Its totient is φ = 4382658000.

The previous prime is 13147974041. The next prime is 13147974109. The reversal of 13147974072 is 27047974131.

13147974072 is a `hidden beast` number, since 13 + 147 + 97 + 407 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×131479740722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91305304 + ... + 91305447.

It is an arithmetic number, because the mean of its divisors is an integer number (1483712360).

Almost surely, 213147974072 is an apocalyptic number.

13147974072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13147974072 is an abundant number, since it is smaller than the sum of its proper divisors (22461122568).

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

13147974072 is a wasteful number, since it uses less digits than its factorization.

13147974072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182610763 (or 182610756 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 13147974072 in words is "thirteen billion, one hundred forty-seven million, nine hundred seventy-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 182610751 365221502 547832253 730443004 1095664506 1460886008 1643496759 2191329012 3286993518 4382658024 6573987036 13147974072