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12937899520 = 295713193779
BaseRepresentation
bin11000000110010100…
…01010111000000000
31020101122221101121201
430003022022320000
5202444100241040
65535452030544
7635420221450
oct140312127000
936348841551
1012937899520
11553a11a447
122610a62454
1312b256a960
148aa401d60
1550ac86a9a
hex30328ae00

12937899520 has 640 divisors, whose sum is σ = 41797324800. Its totient is φ = 3726508032.

The previous prime is 12937899517. The next prime is 12937899553. The reversal of 12937899520 is 2599873921.

It is a tau number, because it is divible by the number of its divisors (640).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 12937899520 = 2133 + 23473 = 15363 + 21043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163770841 + ... + 163770919.

It is an arithmetic number, because the mean of its divisors is an integer number (65308320).

Almost surely, 212937899520 is an apocalyptic number.

12937899520 is a gapful number since it is divisible by the number (10) 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 12937899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20898662400).

12937899520 is an abundant number, since it is smaller than the sum of its proper divisors (28859425280).

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

12937899520 is a wasteful number, since it uses less digits than its factorization.

12937899520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The spelling of 12937899520 in words is "twelve billion, nine hundred thirty-seven million, eight hundred ninety-nine thousand, five hundred twenty".