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9958906967 is a prime number
BaseRepresentation
bin10010100011001100…
…01101110001010111
3221201001102220002012
421101212031301113
5130343440010332
64324113534435
7501535212122
oct112146156127
927631386065
109958906967
1142505a8229
121b1b27441b
13c29330279
146a69073b9
153d44923b2
hex25198dc57

9958906967 has 2 divisors, whose sum is σ = 9958906968. Its totient is φ = 9958906966.

The previous prime is 9958906963. The next prime is 9958907083. The reversal of 9958906967 is 7696098599.

9958906967 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 a cyclic number.

It is not a de Polignac number, because 9958906967 - 22 = 9958906963 is a prime.

It is a super-2 number, since 2×99589069672 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9958906897 and 9958906906.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9958906963) 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, 4979453483 + 4979453484.

It is an arithmetic number, because the mean of its divisors is an integer number (4979453484).

Almost surely, 29958906967 is an apocalyptic number.

9958906967 is a deficient number, since it is larger than the sum of its proper divisors (1).

9958906967 is an equidigital number, since it uses as much as digits as its factorization.

9958906967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66134880, while the sum is 68.

The square root of 9958906967 is about 99794.3233205176. The cubic root of 9958906967 is about 2151.4795632967.

The spelling of 9958906967 in words is "nine billion, nine hundred fifty-eight million, nine hundred six thousand, nine hundred sixty-seven".