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13152684625920 = 212325767233653
BaseRepresentation
bin1011111101100101100100…
…0110000101000000000000
31201120101101012120011120200
42333121121012011000000
53210443144231012140
643550132050005200
72525151533454360
oct277313106050000
951511335504520
1013152684625920
114211027644054
1215850b3576800
137453a649a608
143368441669a0
1517c1e8cb1030
hexbf659185000

13152684625920 has 1248 divisors, whose sum is σ = 53189270514432. Its totient is φ = 2944231538688.

The previous prime is 13152684625903. The next prime is 13152684625937. The reversal of 13152684625920 is 2952648625131.

13152684625920 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 2 + 6 + 8 + 4 + 625 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13152684625903) and next prime (13152684625937).

It is a super-2 number, since 2×131526846259202 (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 20141936314 + ... + 20141936966.

It is an arithmetic number, because the mean of its divisors is an integer number (42619607784).

Almost surely, 213152684625920 is an apocalyptic number.

13152684625920 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 13152684625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26594635257216).

13152684625920 is an abundant number, since it is smaller than the sum of its proper divisors (40036585888512).

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

13152684625920 is a wasteful number, since it uses less digits than its factorization.

13152684625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 13152684625920 in words is "thirteen trillion, one hundred fifty-two billion, six hundred eighty-four million, six hundred twenty-five thousand, nine hundred twenty".