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12553139520 = 2632529150301
BaseRepresentation
bin10111011000011100…
…11011010101000000
31012101211221120010100
423230032123111000
5201202100431040
65433345202400
7623035632255
oct135416332500
935354846110
1012553139520
115361a13579
122524030400
13125093400c
1487128742c
154d70d3b30
hex2ec39b540

12553139520 has 168 divisors, whose sum is σ = 44666748360. Its totient is φ = 3232051200.

The previous prime is 12553139477. The next prime is 12553139531. The reversal of 12553139520 is 2593135521.

12553139520 is a `hidden beast` number, since 1 + 2 + 553 + 13 + 95 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136048896 + 12417090624 = 11664^2 + 111432^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8370 + ... + 158670.

Almost surely, 212553139520 is an apocalyptic number.

12553139520 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 12553139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22333374180).

12553139520 is an abundant number, since it is smaller than the sum of its proper divisors (32113608840).

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

12553139520 is a wasteful number, since it uses less digits than its factorization.

12553139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150353 (or 150340 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 12553139520 in words is "twelve billion, five hundred fifty-three million, one hundred thirty-nine thousand, five hundred twenty".