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137839216517 is a prime number
BaseRepresentation
bin1000000001011111011…
…0111000011110000101
3111011210020210201001022
42000113312320132011
54224243314412032
6143153352440525
712646533003002
oct2002766703605
9434706721038
10137839216517
115350370a572
122286a0a9145
13ccc90116a2
14695867c8a9
1538bb19e512
hex2017db8785

137839216517 has 2 divisors, whose sum is σ = 137839216518. Its totient is φ = 137839216516.

The previous prime is 137839216483. The next prime is 137839216579. The reversal of 137839216517 is 715612938731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132826718116 + 5012498401 = 364454^2 + 70799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137839216517 is a prime.

It is a super-2 number, since 2×1378392165172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137839216597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68919608258 + 68919608259.

It is an arithmetic number, because the mean of its divisors is an integer number (68919608259).

Almost surely, 2137839216517 is an apocalyptic number.

It is an amenable number.

137839216517 is a deficient number, since it is larger than the sum of its proper divisors (1).

137839216517 is an equidigital number, since it uses as much as digits as its factorization.

137839216517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1905120, while the sum is 53.

The spelling of 137839216517 in words is "one hundred thirty-seven billion, eight hundred thirty-nine million, two hundred sixteen thousand, five hundred seventeen".