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36137631149 is a prime number
BaseRepresentation
bin100001101001111110…
…000111110110101101
310110021111022212111022
4201221332013312231
51043002213144044
624333522503525
72416344540134
oct415176076655
9113244285438
1036137631149
1114364829174
127006504ba5
13353bb1bbc9
141a6b64291b
15e1789b3ee
hex869f87dad

36137631149 has 2 divisors, whose sum is σ = 36137631150. Its totient is φ = 36137631148.

The previous prime is 36137631133. The next prime is 36137631169. The reversal of 36137631149 is 94113673163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23475755524 + 12661875625 = 153218^2 + 112525^2 .

It is a cyclic number.

It is not a de Polignac number, because 36137631149 - 24 = 36137631133 is a prime.

It is a super-2 number, since 2×361376311492 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36137631109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18068815574 + 18068815575.

It is an arithmetic number, because the mean of its divisors is an integer number (18068815575).

Almost surely, 236137631149 is an apocalyptic number.

It is an amenable number.

36137631149 is a deficient number, since it is larger than the sum of its proper divisors (1).

36137631149 is an equidigital number, since it uses as much as digits as its factorization.

36137631149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 244944, while the sum is 44.

The spelling of 36137631149 in words is "thirty-six billion, one hundred thirty-seven million, six hundred thirty-one thousand, one hundred forty-nine".