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137387692521 = 3257697264577
BaseRepresentation
bin111111111110011110…
…0011101000111101001
3111010121210011220120100
41333330330131013221
54222332222130041
6143040503020013
712632411055342
oct1777474350751
9433553156510
10137387692521
11532a1852942
1222762a3a609
13cc56600121
1469147050c9
15389170e6b6
hex1ffcf1d1e9

137387692521 has 12 divisors (see below), whose sum is σ = 198453078772. Its totient is φ = 91589861376.

The previous prime is 137387692513. The next prime is 137387692529. The reversal of 137387692521 is 125296783731.

137387692521 is a `hidden beast` number, since 1 + 3 + 7 + 387 + 6 + 9 + 252 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (137387692513) and next prime (137387692529).

It can be written as a sum of positive squares in 2 ways, for example, as 59692262400 + 77695430121 = 244320^2 + 278739^2 .

It is not a de Polignac number, because 137387692521 - 23 = 137387692513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137387692529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386985 + ... + 651561.

Almost surely, 2137387692521 is an apocalyptic number.

It is an amenable number.

137387692521 is a deficient number, since it is larger than the sum of its proper divisors (61065386251).

137387692521 is a wasteful number, since it uses less digits than its factorization.

137387692521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322280 (or 322277 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 137387692521 in words is "one hundred thirty-seven billion, three hundred eighty-seven million, six hundred ninety-two thousand, five hundred twenty-one".

Divisors: 1 3 9 57697 173091 264577 519273 793731 2381193 15265299169 45795897507 137387692521