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9729933313 is a prime number
BaseRepresentation
bin10010000111111001…
…10000000000000001
3221010002120211021111
421003330300000001
5124411330331223
64245254123321
7463055032342
oct110374600001
927102524244
109729933313
114143325a01
121a76650541
13bc0a701b9
146843420c9
153be31330d
hex243f30001

9729933313 has 2 divisors, whose sum is σ = 9729933314. Its totient is φ = 9729933312.

The previous prime is 9729933299. The next prime is 9729933319. The reversal of 9729933313 is 3133399279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7732915969 + 1997017344 = 87937^2 + 44688^2 .

It is a cyclic number.

It is not a de Polignac number, because 9729933313 - 25 = 9729933281 is a prime.

It is not a weakly prime, because it can be changed into another prime (9729933319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4864966656 + 4864966657.

It is an arithmetic number, because the mean of its divisors is an integer number (4864966657).

Almost surely, 29729933313 is an apocalyptic number.

It is an amenable number.

9729933313 is a deficient number, since it is larger than the sum of its proper divisors (1).

9729933313 is an equidigital number, since it uses as much as digits as its factorization.

9729933313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 826686, while the sum is 49.

The square root of 9729933313 is about 98640.4243350565. The cubic root of 9729933313 is about 2134.8627256081.

The spelling of 9729933313 in words is "nine billion, seven hundred twenty-nine million, nine hundred thirty-three thousand, three hundred thirteen".