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137640265002 = 23215748704977
BaseRepresentation
bin1000000000101111111…
…1111100010100101010
3111011021101102220212200
42000023333330110222
54223341401440002
6143121524321030
712641565643302
oct2001377742452
9434241386780
10137640265002
1153411383329
1222813543176
13cc96a336b6
14693a090602
1538a89a0b1c
hex200bffc52a

137640265002 has 24 divisors (see below), whose sum is σ = 300120074436. Its totient is φ = 45587857536.

The previous prime is 137640264961. The next prime is 137640265003. The reversal of 137640265002 is 200562046731.

137640265002 is a `hidden beast` number, since 1 + 3 + 7 + 640 + 2 + 6 + 5 + 0 + 0 + 2 = 666.

137640265002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 128730981681 + 8909283321 = 358791^2 + 94389^2 .

It is not an unprimeable number, because it can be changed into a prime (137640265003) by changing a digit.

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, 24349663 + ... + 24355314.

Almost surely, 2137640265002 is an apocalyptic number.

137640265002 is an abundant number, since it is smaller than the sum of its proper divisors (162479809434).

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

137640265002 is a wasteful number, since it uses less digits than its factorization.

137640265002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48705142 (or 48705139 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 137640265002 in words is "one hundred thirty-seven billion, six hundred forty million, two hundred sixty-five thousand, two".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 48704977 97409954 146114931 292229862 438344793 876689586 7646681389 15293362778 22940044167 45880088334 68820132501 137640265002