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27744413089 is a prime number
BaseRepresentation
bin11001110101101100…
…100010010110100001
32122121120000012211011
4121311230202112201
5423310032204324
620425015020521
72001350422501
oct316554422641
978546005734
1027744413089
1110847aa8218
12546366a741
132801ca03a3
1414b2a5ba01
15ac5acbc94
hex675b225a1

27744413089 has 2 divisors, whose sum is σ = 27744413090. Its totient is φ = 27744413088.

The previous prime is 27744413017. The next prime is 27744413119. The reversal of 27744413089 is 98031444772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15953710864 + 11790702225 = 126308^2 + 108585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27744413089 is a prime.

It is not a weakly prime, because it can be changed into another prime (27744417089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13872206544 + 13872206545.

It is an arithmetic number, because the mean of its divisors is an integer number (13872206545).

Almost surely, 227744413089 is an apocalyptic number.

It is an amenable number.

27744413089 is a deficient number, since it is larger than the sum of its proper divisors (1).

27744413089 is an equidigital number, since it uses as much as digits as its factorization.

27744413089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 27744413089 in words is "twenty-seven billion, seven hundred forty-four million, four hundred thirteen thousand, eighty-nine".