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27105806053 is a prime number
BaseRepresentation
bin11001001111101000…
…011100011011100101
32120222001100121122201
4121033220130123211
5421003041243203
620241403254501
71646464356424
oct311750343345
976861317581
1027105806053
111054a580307
12530581a431
13272c8a7cc1
141451d052bb
15a899d4e1d
hex64fa1c6e5

27105806053 has 2 divisors, whose sum is σ = 27105806054. Its totient is φ = 27105806052.

The previous prime is 27105806033. The next prime is 27105806081. The reversal of 27105806053 is 35060850172.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15367817089 + 11737988964 = 123967^2 + 108342^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27105806053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27105806033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13552903026 + 13552903027.

It is an arithmetic number, because the mean of its divisors is an integer number (13552903027).

Almost surely, 227105806053 is an apocalyptic number.

It is an amenable number.

27105806053 is a deficient number, since it is larger than the sum of its proper divisors (1).

27105806053 is an equidigital number, since it uses as much as digits as its factorization.

27105806053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 27105806053 in words is "twenty-seven billion, one hundred five million, eight hundred six thousand, fifty-three".