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9993715967 is a prime number
BaseRepresentation
bin10010100111010110…
…00000000011111111
3221210110221101001102
421103223000003333
5130431342402332
64331400003315
7502440120104
oct112353000377
927713841042
109993715967
1142692127a4
121b2aa6053b
13c335ca101
146ab3a8aab
153d756b062
hex253ac00ff

9993715967 has 2 divisors, whose sum is σ = 9993715968. Its totient is φ = 9993715966.

The previous prime is 9993715961. The next prime is 9993716009. The reversal of 9993715967 is 7695173999.

9993715967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (7695173999) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9993715967 - 24 = 9993715951 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9993715961) 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, 4996857983 + 4996857984.

It is an arithmetic number, because the mean of its divisors is an integer number (4996857984).

Almost surely, 29993715967 is an apocalyptic number.

9993715967 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993715967 is an equidigital number, since it uses as much as digits as its factorization.

9993715967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28934010, while the sum is 65.

The square root of 9993715967 is about 99968.5748973146. The cubic root of 9993715967 is about 2153.9833108463.

The spelling of 9993715967 in words is "nine billion, nine hundred ninety-three million, seven hundred fifteen thousand, nine hundred sixty-seven".