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137438955413 is a prime number
BaseRepresentation
bin1000000000000000000…
…0000000011110010101
3111010202100122100000222
42000000000000132111
54222433333033123
6143045533444125
712633602563004
oct2000000003625
9433670570028
10137438955413
1153318786471
1222778040645
13cc6410b2b6
14691b44ac3b
153895e886c8
hex2000000795

137438955413 has 2 divisors, whose sum is σ = 137438955414. Its totient is φ = 137438955412.

The previous prime is 137438955397. The next prime is 137438955509. The reversal of 137438955413 is 314559834731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124466428804 + 12972526609 = 352798^2 + 113897^2 .

It is a cyclic number.

It is not a de Polignac number, because 137438955413 - 24 = 137438955397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137438954413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68719477706 + 68719477707.

It is an arithmetic number, because the mean of its divisors is an integer number (68719477707).

Almost surely, 2137438955413 is an apocalyptic number.

It is an amenable number.

137438955413 is a deficient number, since it is larger than the sum of its proper divisors (1).

137438955413 is an equidigital number, since it uses as much as digits as its factorization.

137438955413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5443200, while the sum is 53.

The spelling of 137438955413 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-five thousand, four hundred thirteen".