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27142876289 is a prime number
BaseRepresentation
bin11001010001110101…
…110110110010000001
32121001122002222110102
4121101311312302001
5421042034020124
620245210012145
71650424433054
oct312165666201
977048088412
1027142876289
111056949a771
125316117055
132737487159
141456bd4a9b
15a8cda8aae
hex651d76c81

27142876289 has 2 divisors, whose sum is σ = 27142876290. Its totient is φ = 27142876288.

The previous prime is 27142876261. The next prime is 27142876291. The reversal of 27142876289 is 98267824172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26636851264 + 506025025 = 163208^2 + 22495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27142876289 is a prime.

Together with 27142876291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (27142876259) 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, 13571438144 + 13571438145.

It is an arithmetic number, because the mean of its divisors is an integer number (13571438145).

Almost surely, 227142876289 is an apocalyptic number.

It is an amenable number.

27142876289 is a deficient number, since it is larger than the sum of its proper divisors (1).

27142876289 is an equidigital number, since it uses as much as digits as its factorization.

27142876289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5419008, while the sum is 56.

The spelling of 27142876289 in words is "twenty-seven billion, one hundred forty-two million, eight hundred seventy-six thousand, two hundred eighty-nine".