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12642421464 = 233358529729
BaseRepresentation
bin10111100011000110…
…00000101011011000
31012122001221112221000
423301203000223120
5201342424441324
65450254545000
7625201544421
oct136143005330
935561845830
1012642421464
1153a8354402
122549b08160
13126629417a
1487d088648
154ded6c9c9
hex2f18c0ad8

12642421464 has 32 divisors (see below), whose sum is σ = 35117838000. Its totient is φ = 4214140416.

The previous prime is 12642421459. The next prime is 12642421483. The reversal of 12642421464 is 46412424621.

12642421464 is a `hidden beast` number, since 1 + 2 + 642 + 4 + 2 + 1 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29264649 + ... + 29265080.

Almost surely, 212642421464 is an apocalyptic number.

It is an amenable number.

12642421464 is an abundant number, since it is smaller than the sum of its proper divisors (22475416536).

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

12642421464 is a wasteful number, since it uses less digits than its factorization.

12642421464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58529744 (or 58529734 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 12642421464 in words is "twelve billion, six hundred forty-two million, four hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 58529729 117059458 175589187 234118916 351178374 468237832 526767561 702356748 1053535122 1404713496 1580302683 2107070244 3160605366 4214140488 6321210732 12642421464