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12257983136 = 257110349613
BaseRepresentation
bin10110110101010000…
…11111101010100000
31011122021120001200102
423122220133222200
5200101020430021
65344203041532
7612523065110
oct133250375240
934567501612
1012257983136
115220348183
1224612102a8
131204740a79
14843db5040
154bb23000b
hex2daa1faa0

12257983136 has 48 divisors (see below), whose sum is σ = 27606023424. Its totient is φ = 5248552704.

The previous prime is 12257983109. The next prime is 12257983181. The reversal of 12257983136 is 63138975221.

12257983136 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 7 ways as a sum of consecutive naturals, for example, 222266 + ... + 271878.

It is an arithmetic number, because the mean of its divisors is an integer number (575125488).

Almost surely, 212257983136 is an apocalyptic number.

12257983136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12257983136 is an abundant number, since it is smaller than the sum of its proper divisors (15348040288).

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

12257983136 is a wasteful number, since it uses less digits than its factorization.

12257983136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50733 (or 50725 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The spelling of 12257983136 in words is "twelve billion, two hundred fifty-seven million, nine hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1103 2206 4412 7721 8824 15442 17648 30884 35296 49613 61768 99226 123536 198452 247072 347291 396904 694582 793808 1389164 1587616 2778328 5556656 11113312 54723139 109446278 218892556 383061973 437785112 766123946 875570224 1532247892 1751140448 3064495784 6128991568 12257983136