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137087609697 = 3217895997449
BaseRepresentation
bin111111110101100001…
…1101110101101100001
3111002211212112010022200
41333223003232231201
54221223412002242
6142551023123413
712622105312323
oct1775303565541
9432755463280
10137087609697
1153158422205
122269a443569
13cc093a371c
1468c690d613
1538751d604c
hex1feb0eeb61

137087609697 has 12 divisors (see below), whose sum is σ = 209663403300. Its totient is φ = 86015755008.

The previous prime is 137087609689. The next prime is 137087609713. The reversal of 137087609697 is 796906780731.

137087609697 is a `hidden beast` number, since 13 + 7 + 0 + 8 + 7 + 609 + 6 + 9 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79993374561 + 57094235136 = 282831^2 + 238944^2 .

It is not a de Polignac number, because 137087609697 - 23 = 137087609689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137087607697) 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 11 ways as a sum of consecutive naturals, for example, 447998572 + ... + 447998877.

It is an arithmetic number, because the mean of its divisors is an integer number (17471950275).

Almost surely, 2137087609697 is an apocalyptic number.

137087609697 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137087609697 is a deficient number, since it is larger than the sum of its proper divisors (72575793603).

137087609697 is a wasteful number, since it uses less digits than its factorization.

137087609697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895997472 (or 895997469 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 137087609697 in words is "one hundred thirty-seven billion, eighty-seven million, six hundred nine thousand, six hundred ninety-seven".

Divisors: 1 3 9 17 51 153 895997449 2687992347 8063977041 15231956633 45695869899 137087609697