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12570014628 = 2232349167073
BaseRepresentation
bin10111011010011101…
…10011001110100100
31012110000200220102100
423231032303032210
5201220410432003
65435151012100
7623332234653
oct135516631644
935400626370
1012570014628
11537049a046
12252980a030
131254291ca2
148735db19a
154d8818ba3
hex2ed3b33a4

12570014628 has 18 divisors (see below), whose sum is σ = 31774203734. Its totient is φ = 4190004864.

The previous prime is 12570014581. The next prime is 12570014629. The reversal of 12570014628 is 82641007521.

12570014628 is a `hidden beast` number, since 1 + 25 + 7 + 0 + 0 + 1 + 4 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8124859044 + 4445155584 = 90138^2 + 66672^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 349167073 = 12570014628 / (1 + 2 + 5 + 7 + 0 + 0 + 1 + 4 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 12570014592 and 12570014601.

It is not an unprimeable number, because it can be changed into a prime (12570014629) 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 5 ways as a sum of consecutive naturals, for example, 174583501 + ... + 174583572.

Almost surely, 212570014628 is an apocalyptic number.

12570014628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12570014628 is an abundant number, since it is smaller than the sum of its proper divisors (19204189106).

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

12570014628 is a wasteful number, since it uses less digits than its factorization.

12570014628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349167083 (or 349167078 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12570014628 in words is "twelve billion, five hundred seventy million, fourteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 349167073 698334146 1047501219 1396668292 2095002438 3142503657 4190004876 6285007314 12570014628