Search a number
-
+
9956318917 is a prime number
BaseRepresentation
bin10010100010111000…
…10101111011000101
3221200212120101221111
421101130111323011
5130342304201132
64323542245021
7501504212566
oct112134257305
927625511844
109956318917
11424a09a846
121b1a426771
13c2893528c
146a643216d
153d4130647
hex251715ec5

9956318917 has 2 divisors, whose sum is σ = 9956318918. Its totient is φ = 9956318916.

The previous prime is 9956318909. The next prime is 9956318941. The reversal of 9956318917 is 7198136599.

9956318917 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 can be written as a sum of positive squares in only one way, i.e., 7506662881 + 2449656036 = 86641^2 + 49494^2 .

It is a cyclic number.

It is not a de Polignac number, because 9956318917 - 23 = 9956318909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9956318987) 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, 4978159458 + 4978159459.

It is an arithmetic number, because the mean of its divisors is an integer number (4978159459).

Almost surely, 29956318917 is an apocalyptic number.

It is an amenable number.

9956318917 is a deficient number, since it is larger than the sum of its proper divisors (1).

9956318917 is an equidigital number, since it uses as much as digits as its factorization.

9956318917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3674160, while the sum is 58.

The square root of 9956318917 is about 99781.3555580400. The cubic root of 9956318917 is about 2151.2931767415.

The spelling of 9956318917 in words is "nine billion, nine hundred fifty-six million, three hundred eighteen thousand, nine hundred seventeen".