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27248717369 is a prime number
BaseRepresentation
bin11001011000001001…
…100110111000111001
32121100000021021010102
4121120021212320321
5421301132423434
620303510325145
71653151163456
oct313011467071
977300237112
1027248717369
1110613210735
1253456597b5
132753394503
141466ca682d
15a9731407e
hex658266e39

27248717369 has 2 divisors, whose sum is σ = 27248717370. Its totient is φ = 27248717368.

The previous prime is 27248717341. The next prime is 27248717371. The reversal of 27248717369 is 96371784272.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27236551225 + 12166144 = 165035^2 + 3488^2 .

It is a cyclic number.

It is not a de Polignac number, because 27248717369 - 212 = 27248713273 is a prime.

It is a super-2 number, since 2×272487173692 (a number of 22 digits) contains 22 as substring.

Together with 27248717371, 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 (27248717329) 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, 13624358684 + 13624358685.

It is an arithmetic number, because the mean of its divisors is an integer number (13624358685).

Almost surely, 227248717369 is an apocalyptic number.

It is an amenable number.

27248717369 is a deficient number, since it is larger than the sum of its proper divisors (1).

27248717369 is an equidigital number, since it uses as much as digits as its factorization.

27248717369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7112448, while the sum is 56.

The spelling of 27248717369 in words is "twenty-seven billion, two hundred forty-eight million, seven hundred seventeen thousand, three hundred sixty-nine".