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9996757577 is a prime number
BaseRepresentation
bin10010100111101101…
…00110101001001001
3221210200122220100122
421103312212221021
5130433132220302
64331545113025
7502505015552
oct112366465111
927720586318
109996757577
11426a9aaa24
121b2ba88775
13c34123691
146ab95b329
153d796c3a2
hex253da6a49

9996757577 has 2 divisors, whose sum is σ = 9996757578. Its totient is φ = 9996757576.

The previous prime is 9996757567. The next prime is 9996757607. The reversal of 9996757577 is 7757576999.

9996757577 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., 8929494016 + 1067263561 = 94496^2 + 32669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9996757577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9996757577.

It is not a weakly prime, because it can be changed into another prime (9996757567) 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, 4998378788 + 4998378789.

It is an arithmetic number, because the mean of its divisors is an integer number (4998378789).

Almost surely, 29996757577 is an apocalyptic number.

It is an amenable number.

9996757577 is a deficient number, since it is larger than the sum of its proper divisors (1).

9996757577 is an equidigital number, since it uses as much as digits as its factorization.

9996757577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 262549350, while the sum is 71.

The square root of 9996757577 is about 99983.7865706235. The cubic root of 9996757577 is about 2154.2018119074.

It can be divided in two parts, 999 and 6757577, that added together give a palindrome (6758576).

The spelling of 9996757577 in words is "nine billion, nine hundred ninety-six million, seven hundred fifty-seven thousand, five hundred seventy-seven".