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12976175820 = 22351782715383
BaseRepresentation
bin11000001010111000…
…01011101011001100
31020111022222000211110
430011130023223030
5203033400111240
65543340252020
7636363450246
oct140534135314
936438860743
1012976175820
115559792a53
122621841010
1312ba47ca5a
148b1527096
1550e2e7c80
hex30570bacc

12976175820 has 96 divisors (see below), whose sum is σ = 38519566848. Its totient is φ = 3252616192.

The previous prime is 12976175801. The next prime is 12976175843. The reversal of 12976175820 is 2857167921.

It is a super-2 number, since 2×129761758202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12976175820.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835849 + ... + 851231.

It is an arithmetic number, because the mean of its divisors is an integer number (401245488).

Almost surely, 212976175820 is an apocalyptic number.

12976175820 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 12976175820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19259783424).

12976175820 is an abundant number, since it is smaller than the sum of its proper divisors (25543391028).

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

12976175820 is a wasteful number, since it uses less digits than its factorization.

12976175820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16239 (or 16237 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 12976175820 in words is "twelve billion, nine hundred seventy-six million, one hundred seventy-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 827 1020 1654 2481 3308 4135 4962 8270 9924 12405 14059 15383 16540 24810 28118 30766 42177 46149 49620 56236 61532 70295 76915 84354 92298 140590 153830 168708 184596 210885 230745 261511 281180 307660 421770 461490 523022 784533 843540 922980 1046044 1307555 1569066 2615110 3138132 3922665 5230220 7845330 12721741 15690660 25443482 38165223 50886964 63608705 76330446 127217410 152660892 190826115 216269597 254434820 381652230 432539194 648808791 763304460 865078388 1081347985 1297617582 2162695970 2595235164 3244043955 4325391940 6488087910 12976175820