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27960962017 is a prime number
BaseRepresentation
bin11010000010100110…
…100110101111100001
32200011122111001002211
4122002212212233201
5424231001241032
620502312242121
72006620153462
oct320246465741
980148431084
1027960962017
111094926367a
1255040a0341
132837b00051
1414d370ad69
15ad9b04747
hex6829a6be1

27960962017 has 2 divisors, whose sum is σ = 27960962018. Its totient is φ = 27960962016.

The previous prime is 27960962009. The next prime is 27960962083. The reversal of 27960962017 is 71026906972.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27014538321 + 946423696 = 164361^2 + 30764^2 .

It is a cyclic number.

It is not a de Polignac number, because 27960962017 - 23 = 27960962009 is a prime.

It is a super-2 number, since 2×279609620172 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27960962317) 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, 13980481008 + 13980481009.

It is an arithmetic number, because the mean of its divisors is an integer number (13980481009).

Almost surely, 227960962017 is an apocalyptic number.

It is an amenable number.

27960962017 is a deficient number, since it is larger than the sum of its proper divisors (1).

27960962017 is an equidigital number, since it uses as much as digits as its factorization.

27960962017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 571536, while the sum is 49.

The spelling of 27960962017 in words is "twenty-seven billion, nine hundred sixty million, nine hundred sixty-two thousand, seventeen".