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136746724113 = 321131312414259
BaseRepresentation
bin111111101011010111…
…1010110101100010001
3111001222010002100012200
41333112233112230101
54220024130132423
6142453124513413
712610465655646
oct1772657265421
9431863070180
10136746724113
1152aa2a6288a
122260424b869
13cb8388bc8c
146893535dcd
1538552ecd43
hex1fd6bd6b11

136746724113 has 48 divisors (see below), whose sum is σ = 201672694080. Its totient is φ = 89274931200.

The previous prime is 136746724111. The next prime is 136746724123. The reversal of 136746724113 is 311427647631.

136746724113 is a `hidden beast` number, since 1 + 367 + 46 + 7 + 241 + 1 + 3 = 666.

It is not a de Polignac number, because 136746724113 - 21 = 136746724111 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (136746724111) 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 47 ways as a sum of consecutive naturals, for example, 32105578 + ... + 32109836.

It is an arithmetic number, because the mean of its divisors is an integer number (4201514460).

Almost surely, 2136746724113 is an apocalyptic number.

It is an amenable number.

136746724113 is a deficient number, since it is larger than the sum of its proper divisors (64925969967).

136746724113 is a wasteful number, since it uses less digits than its factorization.

136746724113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 4747 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 136746724113 in words is "one hundred thirty-six billion, seven hundred forty-six million, seven hundred twenty-four thousand, one hundred thirteen".

Divisors: 1 3 9 113 131 241 339 393 723 1017 1179 2169 4259 12777 14803 27233 31571 38331 44409 81699 94713 133227 245097 284139 481267 557929 1026419 1443801 1673787 3079257 3567523 4331403 5021361 9237771 10702569 32107707 63045977 115985347 134460889 189137931 347956041 403382667 567413793 1043868123 1210148001 15194080457 45582241371 136746724113