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136039260672 = 2933719233217
BaseRepresentation
bin111111010110010010…
…0100110001000000000
3111000010210212110211000
41332230210212020000
54212102022320142
6142255013252000
712554115431220
oct1765444461000
9430123773730
10136039260672
115276a686057
1222447334000
13caa0138763
1468275b8080
15381315414c
hex1fac926200

136039260672 has 640 divisors, whose sum is σ = 505653350400. Its totient is φ = 35210723328.

The previous prime is 136039260611. The next prime is 136039260683. The reversal of 136039260672 is 276062930631.

136039260672 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 39 + 2 + 606 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42286008 + ... + 42289224.

It is an arithmetic number, because the mean of its divisors is an integer number (790083360).

Almost surely, 2136039260672 is an apocalyptic number.

136039260672 is a gapful number since it is divisible by the number (12) 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 136039260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252826675200).

136039260672 is an abundant number, since it is smaller than the sum of its proper divisors (369614089728).

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

136039260672 is a wasteful number, since it uses less digits than its factorization.

136039260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 136039260672 in words is "one hundred thirty-six billion, thirty-nine million, two hundred sixty thousand, six hundred seventy-two".