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27495638249 is a prime number
BaseRepresentation
bin11001100110110111…
…100010010011101001
32121222012220010220012
4121212313202103221
5422302340410444
620344210541305
71662240032432
oct314667422351
977865803805
1027495638249
111072a630a82
1253b4297835
132792599541
14148b9c0489
15aadd3ab9e
hex666de24e9

27495638249 has 2 divisors, whose sum is σ = 27495638250. Its totient is φ = 27495638248.

The previous prime is 27495638197. The next prime is 27495638251. The reversal of 27495638249 is 94283659472.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14150767849 + 13344870400 = 118957^2 + 115520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27495638249 is a prime.

It is a Sophie Germain prime.

Together with 27495638251, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (27495634249) 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, 13747819124 + 13747819125.

It is an arithmetic number, because the mean of its divisors is an integer number (13747819125).

Almost surely, 227495638249 is an apocalyptic number.

It is an amenable number.

27495638249 is a deficient number, since it is larger than the sum of its proper divisors (1).

27495638249 is an equidigital number, since it uses as much as digits as its factorization.

27495638249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26127360, while the sum is 59.

The spelling of 27495638249 in words is "twenty-seven billion, four hundred ninety-five million, six hundred thirty-eight thousand, two hundred forty-nine".