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12600763672 = 2371919316133
BaseRepresentation
bin10111011110001000…
…00110010100011000
31012112011120010011211
423233010012110120
5201301243414142
65442210032504
7624154503220
oct135704062430
935464503154
1012600763672
115386891282
122537b78734
13125a769ba3
14877723080
154db38e917
hex2ef106518

12600763672 has 64 divisors (see below), whose sum is σ = 28442131200. Its totient is φ = 5112616320.

The previous prime is 12600763667. The next prime is 12600763853. The reversal of 12600763672 is 27636700621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2051518 + ... + 2057650.

It is an arithmetic number, because the mean of its divisors is an integer number (444408300).

Almost surely, 212600763672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12600763672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221065600).

12600763672 is an abundant number, since it is smaller than the sum of its proper divisors (15841367528).

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

12600763672 is a wasteful number, since it uses less digits than its factorization.

12600763672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 12600763672 in words is "twelve billion, six hundred million, seven hundred sixty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1931 3862 6133 7724 12266 13517 15448 24532 27034 36689 42931 49064 54068 73378 85862 108136 116527 146756 171724 233054 256823 293512 343448 466108 513646 815689 932216 1027292 1631378 2054584 3262756 6525512 11842823 23685646 47371292 82899761 94742584 165799522 225013637 331599044 450027274 663198088 900054548 1575095459 1800109096 3150190918 6300381836 12600763672