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12982681254260 = 22529157114248207
BaseRepresentation
bin1011110011101100010000…
…0110101011100101110100
31200222010120101020002102002
42330323010012223211310
53200202012400114020
643340054511434432
72506652641604324
oct274730406534564
950863511202362
1012982681254260
114155a19123793
121558169825a18
13732352932983
1432c517c93284
15177a98eeb975
hexbcec41ab974

12982681254260 has 48 divisors (see below), whose sum is σ = 28221710549760. Its totient is φ = 5010809086080.

The previous prime is 12982681254253. The next prime is 12982681254269. The reversal of 12982681254260 is 6245218628921.

It is a junction number, because it is equal to n+sod(n) for n = 12982681254196 and 12982681254205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982681254269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6212924 + ... + 8035283.

It is an arithmetic number, because the mean of its divisors is an integer number (587952303120).

Almost surely, 212982681254260 is an apocalyptic number.

12982681254260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12982681254260 is an abundant number, since it is smaller than the sum of its proper divisors (15239029295500).

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

12982681254260 is a wasteful number, since it uses less digits than its factorization.

12982681254260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14249816 (or 14249814 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 56.

The spelling of 12982681254260 in words is "twelve trillion, nine hundred eighty-two billion, six hundred eighty-one million, two hundred fifty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1571 3142 6284 7855 15710 31420 45559 91118 182236 227795 455590 911180 14248207 28496414 56992828 71241035 142482070 284964140 413198003 826396006 1652792012 2065990015 4131980030 8263960060 22383933197 44767866394 89535732788 111919665985 223839331970 447678663940 649134062713 1298268125426 2596536250852 3245670313565 6491340627130 12982681254260