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27348006001 is a prime number
BaseRepresentation
bin11001011110000100…
…010111010001110001
32121120221002122112011
4121132010113101301
5422002042143001
620321414402521
71655465133631
oct313604272161
977527078464
1027348006001
1110664266758
125372960441
13276ab19294
1414761506c1
15aa0dc7d51
hex65e117471

27348006001 has 2 divisors, whose sum is σ = 27348006002. Its totient is φ = 27348006000.

The previous prime is 27348005999. The next prime is 27348006019. The reversal of 27348006001 is 10060084372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23047794225 + 4300211776 = 151815^2 + 65576^2 .

It is a cyclic number.

It is not a de Polignac number, because 27348006001 - 21 = 27348005999 is a prime.

Together with 27348005999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (27348006031) 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, 13674003000 + 13674003001.

It is an arithmetic number, because the mean of its divisors is an integer number (13674003001).

Almost surely, 227348006001 is an apocalyptic number.

It is an amenable number.

27348006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

27348006001 is an equidigital number, since it uses as much as digits as its factorization.

27348006001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 27348006001 in words is "twenty-seven billion, three hundred forty-eight million, six thousand, one".