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27011648369 is a prime number
BaseRepresentation
bin11001001010000001…
…010000101101110001
32120201111011220121002
4121022001100231301
5420304440221434
620224201211345
71644242136266
oct311201205561
976644156532
1027011648369
111050140a242
12529a190b55
13271622b7b4
1414435d526d
15a815d657e
hex64a050b71

27011648369 has 2 divisors, whose sum is σ = 27011648370. Its totient is φ = 27011648368.

The previous prime is 27011648353. The next prime is 27011648371. The reversal of 27011648369 is 96384611072.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26957699344 + 53949025 = 164188^2 + 7345^2 .

It is a cyclic number.

It is not a de Polignac number, because 27011648369 - 24 = 27011648353 is a prime.

It is a super-2 number, since 2×270116483692 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 27011648371, 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 (27011648399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13505824184 + 13505824185.

It is an arithmetic number, because the mean of its divisors is an integer number (13505824185).

Almost surely, 227011648369 is an apocalyptic number.

It is an amenable number.

27011648369 is a deficient number, since it is larger than the sum of its proper divisors (1).

27011648369 is an equidigital number, since it uses as much as digits as its factorization.

27011648369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 27011648369 in words is "twenty-seven billion, eleven million, six hundred forty-eight thousand, three hundred sixty-nine".