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9829475993 is a prime number
BaseRepresentation
bin10010010011110000…
…11110011010011001
3221101000220010011102
421021320132122121
5130112321212433
64303211441145
7465404111261
oct111170363231
927330803142
109829475993
114194534887
121aa3a561b5
13c085837ac
146936547a1
153c7e274e8
hex249e1e699

9829475993 has 2 divisors, whose sum is σ = 9829475994. Its totient is φ = 9829475992.

The previous prime is 9829475947. The next prime is 9829476071. The reversal of 9829475993 is 3995749289.

9829475993 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., 9251938969 + 577537024 = 96187^2 + 24032^2 .

It is a cyclic number.

It is not a de Polignac number, because 9829475993 - 226 = 9762367129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9829475693) 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, 4914737996 + 4914737997.

It is an arithmetic number, because the mean of its divisors is an integer number (4914737997).

Almost surely, 29829475993 is an apocalyptic number.

It is an amenable number.

9829475993 is a deficient number, since it is larger than the sum of its proper divisors (1).

9829475993 is an equidigital number, since it uses as much as digits as its factorization.

9829475993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 44089920, while the sum is 65.

The square root of 9829475993 is about 99143.7138350183. The cubic root of 9829475993 is about 2142.1183200249.

The spelling of 9829475993 in words is "nine billion, eight hundred twenty-nine million, four hundred seventy-five thousand, nine hundred ninety-three".