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648768120017 is a prime number
BaseRepresentation
bin10010111000011011001…
…01111110010011010001
32022000120202200020110112
421130031211332103101
541112134114320032
61214012344211105
764605036013643
oct11341545762321
92260522606415
10648768120017
11230160765a16
12a589b169a95
1349242423164
1423587146893
1511d214cb1b2
hex970d97e4d1

648768120017 has 2 divisors, whose sum is σ = 648768120018. Its totient is φ = 648768120016.

The previous prime is 648768119977. The next prime is 648768120019. The reversal of 648768120017 is 710021867846.

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., 631339895761 + 17428224256 = 794569^2 + 132016^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-648768120017 is a prime.

Together with 648768120019, 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 (648768120019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 324384060008 + 324384060009.

It is an arithmetic number, because the mean of its divisors is an integer number (324384060009).

Almost surely, 2648768120017 is an apocalyptic number.

It is an amenable number.

648768120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

648768120017 is an equidigital number, since it uses as much as digits as its factorization.

648768120017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 903168, while the sum is 50.

The spelling of 648768120017 in words is "six hundred forty-eight billion, seven hundred sixty-eight million, one hundred twenty thousand, seventeen".