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137604998413 is a prime number
BaseRepresentation
bin1000000000100111100…
…1011010010100001101
3111011011221002012012201
42000021321122110031
54223303334422123
6143114224401501
712640660121251
oct2001171322415
9434157065181
10137604998413
11533a3485a93
1222803776291
13cc8c6364ac
146935510261
1538a58365ad
hex2009e5a50d

137604998413 has 2 divisors, whose sum is σ = 137604998414. Its totient is φ = 137604998412.

The previous prime is 137604998389. The next prime is 137604998429. The reversal of 137604998413 is 314899406731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128234177604 + 9370820809 = 358098^2 + 96803^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137604998413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137604998473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68802499206 + 68802499207.

It is an arithmetic number, because the mean of its divisors is an integer number (68802499207).

Almost surely, 2137604998413 is an apocalyptic number.

It is an amenable number.

137604998413 is a deficient number, since it is larger than the sum of its proper divisors (1).

137604998413 is an equidigital number, since it uses as much as digits as its factorization.

137604998413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 137604998413 in words is "one hundred thirty-seven billion, six hundred four million, nine hundred ninety-eight thousand, four hundred thirteen".