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31374664893 = 32111324378139
BaseRepresentation
bin11101001110000100…
…110110010010111101
32222222112222010002200
4131032010312102331
51003223403234033
622225135542113
72160331152135
oct351604662275
988875863080
1031374664893
11123401a9120
1260b738a939
132c60112c90
141738c43ac5
15c39667013
hex74e1364bd

31374664893 has 24 divisors (see below), whose sum is σ = 53241857760. Its totient is φ = 17552259360.

The previous prime is 31374664861. The next prime is 31374664921. The reversal of 31374664893 is 39846647313.

It is a happy number.

31374664893 is a `hidden beast` number, since 3 + 137 + 466 + 48 + 9 + 3 = 666.

It is not a de Polignac number, because 31374664893 - 25 = 31374664861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31374665893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12187783 + ... + 12190356.

It is an arithmetic number, because the mean of its divisors is an integer number (2218410740).

Almost surely, 231374664893 is an apocalyptic number.

31374664893 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31374664893 is a deficient number, since it is larger than the sum of its proper divisors (21867192867).

31374664893 is a wasteful number, since it uses less digits than its factorization.

31374664893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24378169 (or 24378166 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 31374664893 in words is "thirty-one billion, three hundred seventy-four million, six hundred sixty-four thousand, eight hundred ninety-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 24378139 73134417 219403251 268159529 316915807 804478587 950747421 2413435761 2852242263 3486073877 10458221631 31374664893