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27797065841 is a prime number
BaseRepresentation
bin11001111000110101…
…011001000001110001
32122202020002020211002
4121320311121001301
5423412022101331
620434135331345
72002560106166
oct317065310161
978666066732
1027797065841
111087479aa96
125479220b55
13280cb7706c
1414b9a4606d
15aca52c9cb
hex678d59071

27797065841 has 2 divisors, whose sum is σ = 27797065842. Its totient is φ = 27797065840.

The previous prime is 27797065811. The next prime is 27797065859. The reversal of 27797065841 is 14856079772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18859254241 + 8937811600 = 137329^2 + 94540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27797065841 is a prime.

It is not a weakly prime, because it can be changed into another prime (27797065811) 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, 13898532920 + 13898532921.

It is an arithmetic number, because the mean of its divisors is an integer number (13898532921).

Almost surely, 227797065841 is an apocalyptic number.

It is an amenable number.

27797065841 is a deficient number, since it is larger than the sum of its proper divisors (1).

27797065841 is an equidigital number, since it uses as much as digits as its factorization.

27797065841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5927040, while the sum is 56.

The spelling of 27797065841 in words is "twenty-seven billion, seven hundred ninety-seven million, sixty-five thousand, eight hundred forty-one".