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131387876256 = 25371349130631
BaseRepresentation
bin111101001011101010…
…0111110001110100000
3110120010122110122221010
41322113110332032200
54123040244020011
6140205254100520
712330625343550
oct1722724761640
9416118418833
10131387876256
11507a30380aa
122156964a740
13c50b599ba0
146505943160
15363eb111a6
hex1e9753e3a0

131387876256 has 192 divisors, whose sum is σ = 425362323456. Its totient is φ = 34580044800.

The previous prime is 131387876203. The next prime is 131387876273. The reversal of 131387876256 is 652678783131.

It is a junction number, because it is equal to n+sod(n) for n = 131387876196 and 131387876205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4274061 + ... + 4304691.

It is an arithmetic number, because the mean of its divisors is an integer number (2215428768).

Almost surely, 2131387876256 is an apocalyptic number.

131387876256 is a gapful number since it is divisible by the number (16) 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 131387876256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212681161728).

131387876256 is an abundant number, since it is smaller than the sum of its proper divisors (293974447200).

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

131387876256 is a wasteful number, since it uses less digits than its factorization.

131387876256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31155 (or 31147 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The spelling of 131387876256 in words is "one hundred thirty-one billion, three hundred eighty-seven million, eight hundred seventy-six thousand, two hundred fifty-six".