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30137587956 = 22327119593603
BaseRepresentation
bin11100000100010101…
…110001100011110100
32212210100012002120100
4130010111301203310
5443210210303311
621502305034100
72114560161630
oct340425614364
985710162510
1030137587956
1111865978993
125a11025930
132ac3a395a8
14165c821dc0
15bb5c55a56
hex7045718f4

30137587956 has 36 divisors (see below), whose sum is σ = 87064143712. Its totient is φ = 8610739344.

The previous prime is 30137587939. The next prime is 30137587957. The reversal of 30137587956 is 65978573103.

30137587956 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 7 + 587 + 9 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30137587957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59796550 + ... + 59797053.

Almost surely, 230137587956 is an apocalyptic number.

30137587956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30137587956 is an abundant number, since it is smaller than the sum of its proper divisors (56926555756).

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

30137587956 is a wasteful number, since it uses less digits than its factorization.

30137587956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119593620 (or 119593615 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 30137587956 in words is "thirty billion, one hundred thirty-seven million, five hundred eighty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 119593603 239187206 358780809 478374412 717561618 837155221 1076342427 1435123236 1674310442 2152684854 2511465663 3348620884 4305369708 5022931326 7534396989 10045862652 15068793978 30137587956