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12642344451 = 3211274146589
BaseRepresentation
bin10111100011000101…
…01101111000000011
31012122001210122021200
423301202231320003
5201342420010301
65450253152243
7625201104042
oct136142557003
935561718250
1012642344451
1153a8301560
122549a8b683
1312662680b9
1487d068559
154ded54c86
hex2f18ade03

12642344451 has 24 divisors (see below), whose sum is σ = 19928965680. Its totient is φ = 7659067200.

The previous prime is 12642344441. The next prime is 12642344461. The reversal of 12642344451 is 15444324621.

12642344451 is a `hidden beast` number, since 1 + 2 + 642 + 3 + 4 + 4 + 4 + 5 + 1 = 666.

12642344451 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12642344441) and next prime (12642344461).

It is not a de Polignac number, because 12642344451 - 221 = 12640247299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12642344441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 248065 + ... + 294653.

It is an arithmetic number, because the mean of its divisors is an integer number (830373570).

Almost surely, 212642344451 is an apocalyptic number.

12642344451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12642344451 is a deficient number, since it is larger than the sum of its proper divisors (7286621229).

12642344451 is a wasteful number, since it uses less digits than its factorization.

12642344451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49347 (or 49344 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 12642344451 in words is "twelve billion, six hundred forty-two million, three hundred forty-four thousand, four hundred fifty-one".

Divisors: 1 3 9 11 33 99 2741 8223 24669 30151 46589 90453 139767 271359 419301 512479 1537437 4612311 127700449 383101347 1149304041 1404704939 4214114817 12642344451