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9968013919 is a prime number
BaseRepresentation
bin10010100100010001…
…11101001001011111
3221201200120120110201
421102020331021133
5130403302421134
64325041044331
7502005502033
oct112210751137
927650516421
109968013919
114255758436
121b223266a7
13c2b19b4b6
146a7bd81c3
153d5190914
hex25223d25f

9968013919 has 2 divisors, whose sum is σ = 9968013920. Its totient is φ = 9968013918.

The previous prime is 9968013877. The next prime is 9968013929. The reversal of 9968013919 is 9193108699.

9968013919 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 9968013919 - 27 = 9968013791 is a prime.

It is a super-2 number, since 2×99680139192 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9968013919.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9968013929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4984006959 + 4984006960.

It is an arithmetic number, because the mean of its divisors is an integer number (4984006960).

Almost surely, 29968013919 is an apocalyptic number.

9968013919 is a deficient number, since it is larger than the sum of its proper divisors (1).

9968013919 is an equidigital number, since it uses as much as digits as its factorization.

9968013919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 944784, while the sum is 55.

The square root of 9968013919 is about 99839.9415013851. The cubic root of 9968013919 is about 2152.1351724510.

The spelling of 9968013919 in words is "nine billion, nine hundred sixty-eight million, thirteen thousand, nine hundred nineteen".