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136108513632 = 2537313317963
BaseRepresentation
bin111111011000010110…
…0110001100101100000
3111000022122011220000110
41332300230301211200
54212222234414012
6142305525451320
712555616164000
oct1766054614540
9430278156013
10136108513632
11527a5786903
1222466570b40
13cab15a5240
146832884000
15381928373c
hex1fb0b31960

136108513632 has 192 divisors, whose sum is σ = 448710796800. Its totient is φ = 35896637952.

The previous prime is 136108513627. The next prime is 136108513633. The reversal of 136108513632 is 236315801631.

It is a super-2 number, since 2×1361085136322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136108513633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269083 + ... + 587045.

It is an arithmetic number, because the mean of its divisors is an integer number (2337035400).

Almost surely, 2136108513632 is an apocalyptic number.

136108513632 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 136108513632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224355398400).

136108513632 is an abundant number, since it is smaller than the sum of its proper divisors (312602283168).

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

136108513632 is a wasteful number, since it uses less digits than its factorization.

136108513632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318010 (or 317988 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 136108513632 in words is "one hundred thirty-six billion, one hundred eight million, five hundred thirteen thousand, six hundred thirty-two".