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136732869504 = 27337111927043
BaseRepresentation
bin111111101010111101…
…0100000001110000000
3111001221011000110021000
41333111322200032000
54220012103311004
6142451511532000
712610240133340
oct1772572401600
9431834013230
10136732869504
1152a9615a6a0
12225bb68a000
13cb80a4aa9a
14689176ad20
153853eb2c39
hex1fd5ea0380

136732869504 has 512 divisors, whose sum is σ = 529629696000. Its totient is φ = 33644574720.

The previous prime is 136732869503. The next prime is 136732869587. The reversal of 136732869504 is 405968237631.

136732869504 is a `hidden beast` number, since 1 + 3 + 6 + 73 + 2 + 8 + 69 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136732869503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5042607 + ... + 5069649.

It is an arithmetic number, because the mean of its divisors is an integer number (1034433000).

It is a 1-persistent number, because it is pandigital, but 2⋅136732869504 = 273465739008 is not.

Almost surely, 2136732869504 is an apocalyptic number.

136732869504 is a gapful number since it is divisible by the number (14) 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 136732869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264814848000).

136732869504 is an abundant number, since it is smaller than the sum of its proper divisors (392896826496).

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

136732869504 is a wasteful number, since it uses less digits than its factorization.

136732869504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27103 (or 27085 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 136732869504 in words is "one hundred thirty-six billion, seven hundred thirty-two million, eight hundred sixty-nine thousand, five hundred four".