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12784372944 = 243738048729
BaseRepresentation
bin10111110100000001…
…00000110011010000
31012222222001102202020
423322000200303100
5202140244413234
65512325251440
7631544243220
oct137200406320
935888042666
1012784372944
115470499682
122589563b80
131289805825
14893c7a080
154ec55c549
hex2fa020cd0

12784372944 has 40 divisors (see below), whose sum is σ = 37744340160. Its totient is φ = 3652677888.

The previous prime is 12784372943. The next prime is 12784373009. The reversal of 12784372944 is 44927348721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12784372943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19024029 + ... + 19024700.

It is an arithmetic number, because the mean of its divisors is an integer number (943608504).

Almost surely, 212784372944 is an apocalyptic number.

12784372944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12784372944 is an abundant number, since it is smaller than the sum of its proper divisors (24959967216).

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

12784372944 is a wasteful number, since it uses less digits than its factorization.

12784372944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38048747 (or 38048741 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The spelling of 12784372944 in words is "twelve billion, seven hundred eighty-four million, three hundred seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 38048729 76097458 114146187 152194916 228292374 266341103 304389832 456584748 532682206 608779664 799023309 913169496 1065364412 1598046618 1826338992 2130728824 3196093236 4261457648 6392186472 12784372944