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27282008381 is a prime number
BaseRepresentation
bin11001011010001000…
…100110100100111101
32121102022220121210212
4121122020212210331
5421333143232011
620311100042205
71654034150015
oct313210464475
977368817725
1027282008381
111062aa89771
125354833365
13275a24c434
14146b490c45
15a9a1dd08b
hex65a22693d

27282008381 has 2 divisors, whose sum is σ = 27282008382. Its totient is φ = 27282008380.

The previous prime is 27282008359. The next prime is 27282008407. The reversal of 27282008381 is 18380028272.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27188712100 + 93296281 = 164890^2 + 9659^2 .

It is a cyclic number.

It is not a de Polignac number, because 27282008381 - 234 = 10102139197 is a prime.

It is a super-2 number, since 2×272820083812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27282008311) 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, 13641004190 + 13641004191.

It is an arithmetic number, because the mean of its divisors is an integer number (13641004191).

Almost surely, 227282008381 is an apocalyptic number.

It is an amenable number.

27282008381 is a deficient number, since it is larger than the sum of its proper divisors (1).

27282008381 is an equidigital number, since it uses as much as digits as its factorization.

27282008381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 27282008381 in words is "twenty-seven billion, two hundred eighty-two million, eight thousand, three hundred eighty-one".