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9971264357 is a prime number
BaseRepresentation
bin10010100100101010…
…10110101101100101
3221201220200201020022
421102111112231211
5130410120424412
64325234444525
7502045230365
oct112225265545
927656621208
109971264357
11425757854a
121b23433745
13c2ba68b32
146a84029a5
153d55d3a72
hex252556b65

9971264357 has 2 divisors, whose sum is σ = 9971264358. Its totient is φ = 9971264356.

The previous prime is 9971264351. The next prime is 9971264377. The reversal of 9971264357 is 7534621799.

9971264357 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., 9620863396 + 350400961 = 98086^2 + 18719^2 .

It is a cyclic number.

It is not a de Polignac number, because 9971264357 - 212 = 9971260261 is a prime.

It is a super-2 number, since 2×99712643572 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9971264299 and 9971264308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9971264351) 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, 4985632178 + 4985632179.

It is an arithmetic number, because the mean of its divisors is an integer number (4985632179).

Almost surely, 29971264357 is an apocalyptic number.

It is an amenable number.

9971264357 is a deficient number, since it is larger than the sum of its proper divisors (1).

9971264357 is an equidigital number, since it uses as much as digits as its factorization.

9971264357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2857680, while the sum is 53.

The square root of 9971264357 is about 99856.2184192852. The cubic root of 9971264357 is about 2152.3690746698.

The spelling of 9971264357 in words is "nine billion, nine hundred seventy-one million, two hundred sixty-four thousand, three hundred fifty-seven".