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268002828017 is a prime number
BaseRepresentation
bin1111100110011000110…
…1101001111011110001
3221121202120121021110022
43321212031221323301
513342332210444032
6323041354413225
725235234310551
oct3714615517361
9847676537408
10268002828017
11a3728678411
1243b35731215
131c370a6c752
14cd85777161
156e88580512
hex3e66369ef1

268002828017 has 2 divisors, whose sum is σ = 268002828018. Its totient is φ = 268002828016.

The previous prime is 268002828011. The next prime is 268002828031. The reversal of 268002828017 is 710828200862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267553769536 + 449058481 = 517256^2 + 21191^2 .

It is a cyclic number.

It is not a de Polignac number, because 268002828017 - 216 = 268002762481 is a prime.

It is not a weakly prime, because it can be changed into another prime (268002828011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134001414008 + 134001414009.

It is an arithmetic number, because the mean of its divisors is an integer number (134001414009).

Almost surely, 2268002828017 is an apocalyptic number.

It is an amenable number.

268002828017 is a deficient number, since it is larger than the sum of its proper divisors (1).

268002828017 is an equidigital number, since it uses as much as digits as its factorization.

268002828017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172032, while the sum is 44.

The spelling of 268002828017 in words is "two hundred sixty-eight billion, two million, eight hundred twenty-eight thousand, seventeen".