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136728712413 = 32109139376873
BaseRepresentation
bin111111101010110101…
…0101001010011011101
3111001220212012020210200
41333111222221103131
54220010022244123
6142451242454113
712610156610466
oct1772552512335
9431825166720
10136728712413
1152a93880387
12225ba204339
13cb7cc23877
146890da7d6d
153853941143
hex1fd5aa94dd

136728712413 has 12 divisors (see below), whose sum is σ = 199308929820. Its totient is φ = 90316213056.

The previous prime is 136728712409. The next prime is 136728712433. The reversal of 136728712413 is 314217827631.

136728712413 is a `hidden beast` number, since 1 + 367 + 287 + 1 + 2 + 4 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65309891364 + 71418821049 = 255558^2 + 267243^2 .

It is not a de Polignac number, because 136728712413 - 22 = 136728712409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136728712433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69687456 + ... + 69689417.

It is an arithmetic number, because the mean of its divisors is an integer number (16609077485).

Almost surely, 2136728712413 is an apocalyptic number.

It is an amenable number.

136728712413 is a deficient number, since it is larger than the sum of its proper divisors (62580217407).

136728712413 is a wasteful number, since it uses less digits than its factorization.

136728712413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139376988 (or 139376985 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 136728712413 in words is "one hundred thirty-six billion, seven hundred twenty-eight million, seven hundred twelve thousand, four hundred thirteen".

Divisors: 1 3 9 109 327 981 139376873 418130619 1254391857 15192079157 45576237471 136728712413