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18000085000217 is a prime number
BaseRepresentation
bin1000001011110111110001…
…01011000010000000011001
32100201210100212120010001212
410011323320223002000121
54324403133230001332
6102141042550552505
73535314613013555
oct405737053020031
970653325503055
1018000085000217
11580a87a7a3171
122028654068735
13a07529540968
144632ccbb6865
152133545988b2
hex105ef8ac2019

18000085000217 has 2 divisors, whose sum is σ = 18000085000218. Its totient is φ = 18000085000216.

The previous prime is 18000085000213. The next prime is 18000085000229. The reversal of 18000085000217 is 71200058000081.

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., 17791152817936 + 208932182281 = 4217956^2 + 457091^2 .

It is a cyclic number.

It is not a de Polignac number, because 18000085000217 - 22 = 18000085000213 is a prime.

It is not a weakly prime, because it can be changed into another prime (18000085000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9000042500108 + 9000042500109.

It is an arithmetic number, because the mean of its divisors is an integer number (9000042500109).

Almost surely, 218000085000217 is an apocalyptic number.

It is an amenable number.

18000085000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

18000085000217 is an equidigital number, since it uses as much as digits as its factorization.

18000085000217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4480, while the sum is 32.

The spelling of 18000085000217 in words is "eighteen trillion, eighty-five million, two hundred seventeen", and thus it is an aban number.