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12492706980 = 22351391117581
BaseRepresentation
bin10111010001001111…
…11001010010100100
31012020122020021021010
423220213321102210
5201041113110410
65423350022220
7621403154145
oct135047712244
935218207233
1012492706980
115330897726
122507947970
131241265210
14867235acc
154d1b47c20
hex2e89f94a4

12492706980 has 96 divisors (see below), whose sum is σ = 37713811968. Its totient is φ = 3071577600.

The previous prime is 12492706943. The next prime is 12492707021. The reversal of 12492706980 is 8960729421.

12492706980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701790 + ... + 719370.

It is an arithmetic number, because the mean of its divisors is an integer number (392852208).

Almost surely, 212492706980 is an apocalyptic number.

12492706980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12492706980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18856905984).

12492706980 is an abundant number, since it is smaller than the sum of its proper divisors (25221104988).

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

12492706980 is a wasteful number, since it uses less digits than its factorization.

12492706980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18517 (or 18515 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 12492706980 in words is "twelve billion, four hundred ninety-two million, seven hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 911 1822 2733 3644 4555 5466 9110 10932 11843 13665 17581 18220 23686 27330 35162 35529 47372 52743 54660 59215 70324 71058 87905 105486 118430 142116 175810 177645 210972 228553 236860 263715 351620 355290 457106 527430 685659 710580 914212 1054860 1142765 1371318 2285530 2742636 3428295 4571060 6856590 13713180 16016291 32032582 48048873 64065164 80081455 96097746 160162910 192195492 208211783 240244365 320325820 416423566 480488730 624635349 832847132 960977460 1041058915 1249270698 2082117830 2498541396 3123176745 4164235660 6246353490 12492706980