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17885966081 is a prime number
BaseRepresentation
bin10000101010000101…
…100010111100000001
31201011111121012220012
4100222011202330001
5243112301403311
612114450154305
71202142126464
oct205205427401
951144535805
1017885966081
117649186055
123571b82995
1318c07150a9
14c196252db
156ea38078b
hex42a162f01

17885966081 has 2 divisors, whose sum is σ = 17885966082. Its totient is φ = 17885966080.

The previous prime is 17885966069. The next prime is 17885966083. The reversal of 17885966081 is 18066958871.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17871411856 + 14554225 = 133684^2 + 3815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17885966081 is a prime.

It is a super-2 number, since 2×178859660812 (a number of 21 digits) contains 22 as substring.

Together with 17885966083, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 17885966081.

It is not a weakly prime, because it can be changed into another prime (17885966083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8942983040 + 8942983041.

It is an arithmetic number, because the mean of its divisors is an integer number (8942983041).

Almost surely, 217885966081 is an apocalyptic number.

It is an amenable number.

17885966081 is a deficient number, since it is larger than the sum of its proper divisors (1).

17885966081 is an equidigital number, since it uses as much as digits as its factorization.

17885966081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5806080, while the sum is 59.

The spelling of 17885966081 in words is "seventeen billion, eight hundred eighty-five million, nine hundred sixty-six thousand, eighty-one".