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12752996256 = 253271113311427
BaseRepresentation
bin10111110000010001…
…10100011110100000
31012220210000100000200
423320020310132200
5202104231340011
65505244545200
7631013452050
oct137010643640
935823010020
1012752996256
115454808930
12257ab52200
13128316b040
1488da2d560
154e9910856
hex2f82347a0

12752996256 has 576 divisors, whose sum is σ = 50299232256. Its totient is φ = 2956953600.

The previous prime is 12752996237. The next prime is 12752996273. The reversal of 12752996256 is 65269925721.

12752996256 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 2 + 9 + 9 + 625 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8936215 + ... + 8937641.

It is an arithmetic number, because the mean of its divisors is an integer number (87325056).

Almost surely, 212752996256 is an apocalyptic number.

12752996256 is a gapful number since it is divisible by the number (16) 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 12752996256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25149616128).

12752996256 is an abundant number, since it is smaller than the sum of its proper divisors (37546236000).

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

12752996256 is a wasteful number, since it uses less digits than its factorization.

12752996256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1494 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 12752996256 in words is "twelve billion, seven hundred fifty-two million, nine hundred ninety-six thousand, two hundred fifty-six".