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137650334337 = 3329369147629
BaseRepresentation
bin1000000000110010011…
…0010110101010000001
3111011022002101111102000
42000030212112222001
54223401441144322
6143122524214213
712642050352045
oct2001446265201
9434262344360
10137650334337
115341703059a
122281699a369
13cc98b4a999
14693b552025
1538a97de3ac
hex200c996a81

137650334337 has 32 divisors (see below), whose sum is σ = 211019952000. Its totient is φ = 88576649280.

The previous prime is 137650334309. The next prime is 137650334357. The reversal of 137650334337 is 733433056731.

137650334337 is a `hidden beast` number, since 1 + 3 + 76 + 503 + 3 + 43 + 37 = 666.

It is not a de Polignac number, because 137650334337 - 26 = 137650334273 is a prime.

It is a super-2 number, since 2×1376503343372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137650334292 and 137650334301.

It is not an unprimeable number, because it can be changed into a prime (137650334357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2866239 + ... + 2913867.

It is an arithmetic number, because the mean of its divisors is an integer number (6594373500).

Almost surely, 2137650334337 is an apocalyptic number.

It is an amenable number.

137650334337 is a deficient number, since it is larger than the sum of its proper divisors (73369617663).

137650334337 is a wasteful number, since it uses less digits than its factorization.

137650334337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51358 (or 51352 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 45.

The spelling of 137650334337 in words is "one hundred thirty-seven billion, six hundred fifty million, three hundred thirty-four thousand, three hundred thirty-seven".

Divisors: 1 3 9 27 29 87 261 783 3691 11073 33219 47629 99657 107039 142887 321117 428661 963351 1285983 1381241 2890053 4143723 12431169 37293507 175798639 527395917 1582187751 4746563253 5098160531 15294481593 45883444779 137650334337