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14975965368 = 23337134118583
BaseRepresentation
bin11011111001010001…
…10001100010111000
31102122200220212101000
431330220301202320
5221132321342433
610514014525000
71040055414420
oct157450614270
942580825330
1014975965368
1163955a6491
122a9b506760
131548882390
14a20d69480
155c9b68113
hex37ca318b8

14975965368 has 256 divisors, whose sum is σ = 52451481600. Its totient is φ = 3853163520.

The previous prime is 14975965289. The next prime is 14975965399. The reversal of 14975965368 is 86356957941.

14975965368 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 5 + 96 + 536 + 8 = 666.

14975965368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 796605 + ... + 815187.

It is an arithmetic number, because the mean of its divisors is an integer number (204888600).

Almost surely, 214975965368 is an apocalyptic number.

14975965368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14975965368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26225740800).

14975965368 is an abundant number, since it is smaller than the sum of its proper divisors (37475516232).

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

14975965368 is a wasteful number, since it uses less digits than its factorization.

14975965368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18659 (or 18649 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 14975965368 in words is "fourteen billion, nine hundred seventy-five million, nine hundred sixty-five thousand, three hundred sixty-eight".