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27808288289 is a prime number
BaseRepresentation
bin11001111001100000…
…001100111000100001
32122210000012102010022
4121321200030320201
5423422410211124
620435220043225
72003054356535
oct317140147041
978700172108
1027808288289
1110880065641
125480b33515
1328122a6172
1414bb327bc5
15acb4e7c5e
hex67980ce21

27808288289 has 2 divisors, whose sum is σ = 27808288290. Its totient is φ = 27808288288.

The previous prime is 27808288279. The next prime is 27808288301. The reversal of 27808288289 is 98288280872.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27766556689 + 41731600 = 166633^2 + 6460^2 .

It is a cyclic number.

It is not a de Polignac number, because 27808288289 - 24 = 27808288273 is a prime.

It is not a weakly prime, because it can be changed into another prime (27808288279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13904144144 + 13904144145.

It is an arithmetic number, because the mean of its divisors is an integer number (13904144145).

Almost surely, 227808288289 is an apocalyptic number.

It is an amenable number.

27808288289 is a deficient number, since it is larger than the sum of its proper divisors (1).

27808288289 is an equidigital number, since it uses as much as digits as its factorization.

27808288289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16515072, while the sum is 62.

The spelling of 27808288289 in words is "twenty-seven billion, eight hundred eight million, two hundred eighty-eight thousand, two hundred eighty-nine".