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137064400002 = 23234759219071
BaseRepresentation
bin111111110100110101…
…1001100010010000010
3111002210020211221121100
41333221223030102002
54221201441300002
6142544433435230
712621404114505
oct1775153142202
9432706757540
10137064400002
115314630a442
122269270bb16
13cc0463838a
1468c37cb13c
15387314e11c
hex1fe9acc482

137064400002 has 24 divisors (see below), whose sum is σ = 296982766080. Its totient is φ = 45686610360.

The previous prime is 137064399961. The next prime is 137064400049. The reversal of 137064400002 is 200004460731.

137064400002 is a `hidden beast` number, since 13 + 7 + 0 + 644 + 0 + 0 + 0 + 0 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516127 + ... + 735197.

It is an arithmetic number, because the mean of its divisors is an integer number (12374281920).

Almost surely, 2137064400002 is an apocalyptic number.

137064400002 is an abundant number, since it is smaller than the sum of its proper divisors (159918366078).

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

137064400002 is a wasteful number, since it uses less digits than its factorization.

137064400002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253838 (or 253835 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 137064400002 its reverse (200004460731), we get a palindrome (337068860733).

The spelling of 137064400002 in words is "one hundred thirty-seven billion, sixty-four million, four hundred thousand, two".

Divisors: 1 2 3 6 9 18 34759 69518 104277 208554 219071 312831 438142 625662 657213 1314426 1971639 3943278 7614688889 15229377778 22844066667 45688133334 68532200001 137064400002