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12642412551 = 319788124281
BaseRepresentation
bin10111100011000101…
…11110100000000111
31012122001221002200220
423301202332200013
5201342424200201
65450254435423
7625201506426
oct136142764007
935561832626
1012642412551
1153a834873a
122549b02b73
1312662900b2
1487d0852bd
154ded6a036
hex2f18be807

12642412551 has 16 divisors (see below), whose sum is σ = 16962045408. Its totient is φ = 8375628800.

The previous prime is 12642412493. The next prime is 12642412567. The reversal of 12642412551 is 15521424621.

It is a happy number.

12642412551 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12642412551 - 210 = 12642411527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642416551) 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 15 ways as a sum of consecutive naturals, for example, 508531 + ... + 532811.

It is an arithmetic number, because the mean of its divisors is an integer number (1060127838).

Almost surely, 212642412551 is an apocalyptic number.

12642412551 is a deficient number, since it is larger than the sum of its proper divisors (4319632857).

12642412551 is a wasteful number, since it uses less digits than its factorization.

12642412551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25362.

The product of its digits is 19200, while the sum is 33.

The spelling of 12642412551 in words is "twelve billion, six hundred forty-two million, four hundred twelve thousand, five hundred fifty-one".

Divisors: 1 3 197 591 881 2643 24281 72843 173557 520671 4783357 14350071 21391561 64174683 4214137517 12642412551