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13126256325 = 32527131743877
BaseRepresentation
bin11000011100110001…
…01100011011000101
31020212210100220120200
430032120230123011
5203340310200300
610010301121113
7643165223610
oct141630543305
936783326520
1013126256325
11562647a726
122663b59199
1313125a94a0
148c7433177
1551c591200
hex30e62c6c5

13126256325 has 288 divisors, whose sum is σ = 31386491136. Its totient is φ = 5086126080.

The previous prime is 13126256321. The next prime is 13126256327. The reversal of 13126256325 is 52365262131.

13126256325 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 625 + 6 + 3 + 25 = 666.

It is not a de Polignac number, because 13126256325 - 22 = 13126256321 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13126256325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13126256321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14966787 + ... + 14967663.

It is an arithmetic number, because the mean of its divisors is an integer number (108980872).

Almost surely, 213126256325 is an apocalyptic number.

13126256325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13126256325 is an abundant number, since it is smaller than the sum of its proper divisors (18260234811).

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

13126256325 is a wasteful number, since it uses less digits than its factorization.

13126256325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 965 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 13126256325 in words is "thirteen billion, one hundred twenty-six million, two hundred fifty-six thousand, three hundred twenty-five".