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9979164193 is a prime number
BaseRepresentation
bin10010100101100110…
…11111011000100001
3221202110120001202211
421102303133120201
5130414131223233
64330120042121
7502202332105
oct112263373041
927673501684
109979164193
114260a83839
121b26003341
13c305a37ab
146a949b905
153d61445cd
hex252cdf621

9979164193 has 2 divisors, whose sum is σ = 9979164194. Its totient is φ = 9979164192.

The previous prime is 9979164149. The next prime is 9979164263. The reversal of 9979164193 is 3914619799.

9979164193 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., 8735332369 + 1243831824 = 93463^2 + 35268^2 .

It is a cyclic number.

It is not a de Polignac number, because 9979164193 - 213 = 9979156001 is a prime.

It is not a weakly prime, because it can be changed into another prime (9979164893) 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, 4989582096 + 4989582097.

It is an arithmetic number, because the mean of its divisors is an integer number (4989582097).

Almost surely, 29979164193 is an apocalyptic number.

It is an amenable number.

9979164193 is a deficient number, since it is larger than the sum of its proper divisors (1).

9979164193 is an equidigital number, since it uses as much as digits as its factorization.

9979164193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3306744, while the sum is 58.

The square root of 9979164193 is about 99895.7666420354. The cubic root of 9979164193 is about 2152.9373367512.

The spelling of 9979164193 in words is "nine billion, nine hundred seventy-nine million, one hundred sixty-four thousand, one hundred ninety-three".