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136827702049 is a prime number
BaseRepresentation
bin111111101101110010…
…0010000101100100001
3111002011202110110001111
41333123210100230201
54220210342431144
6142505140303321
712612501164143
oct1773344205441
9432152413044
10136827702049
11530347417a5
12226273a1b41
13cb975a250c
1468a01b4c93
15385c496534
hex1fdb910b21

136827702049 has 2 divisors, whose sum is σ = 136827702050. Its totient is φ = 136827702048.

The previous prime is 136827702047. The next prime is 136827702119. The reversal of 136827702049 is 940207728631.

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., 73512561424 + 63315140625 = 271132^2 + 251625^2 .

It is a cyclic number.

It is not a de Polignac number, because 136827702049 - 21 = 136827702047 is a prime.

Together with 136827702047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 136827701993 and 136827702011.

It is not a weakly prime, because it can be changed into another prime (136827702047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68413851024 + 68413851025.

It is an arithmetic number, because the mean of its divisors is an integer number (68413851025).

Almost surely, 2136827702049 is an apocalyptic number.

It is an amenable number.

136827702049 is a deficient number, since it is larger than the sum of its proper divisors (1).

136827702049 is an equidigital number, since it uses as much as digits as its factorization.

136827702049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 136827702049 in words is "one hundred thirty-six billion, eight hundred twenty-seven million, seven hundred two thousand, forty-nine".