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9983657959601 is a prime number
BaseRepresentation
bin1001000101001000000001…
…1000101110000010110001
31022100102120021210120210212
42101102000120232002301
52302033012414201401
633122232410233505
72050203231320534
oct221220030560261
938312507716725
109983657959601
1131aa055710207
121152a96a25895
135755bb575031
142672d69a2a1b
15124a703d6dbb
hex9148062e0b1

9983657959601 has 2 divisors, whose sum is σ = 9983657959602. Its totient is φ = 9983657959600.

The previous prime is 9983657959589. The next prime is 9983657959607. The reversal of 9983657959601 is 1069597563899.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8760421959601 + 1223236000000 = 2959801^2 + 1106000^2 .

It is an emirp because it is prime and its reverse (1069597563899) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9983657959601 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9983657959607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4991828979800 + 4991828979801.

It is an arithmetic number, because the mean of its divisors is an integer number (4991828979801).

Almost surely, 29983657959601 is an apocalyptic number.

It is an amenable number.

9983657959601 is a deficient number, since it is larger than the sum of its proper divisors (1).

9983657959601 is an equidigital number, since it uses as much as digits as its factorization.

9983657959601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 992023200, while the sum is 77.

The spelling of 9983657959601 in words is "nine trillion, nine hundred eighty-three billion, six hundred fifty-seven million, nine hundred fifty-nine thousand, six hundred one".