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9985155833 is a prime number
BaseRepresentation
bin10010100110010100…
…10110001011111001
3221202212211110202102
421103022112023321
5130422144441313
64330452313145
7502304265332
oct112312261371
927685743672
109985155833
1142643a6404
121b280127b5
13c318c0a43
146aa1bb289
153d6929a58
hex2532962f9

9985155833 has 2 divisors, whose sum is σ = 9985155834. Its totient is φ = 9985155832.

The previous prime is 9985155821. The next prime is 9985155841. The reversal of 9985155833 is 3385515899.

9985155833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9547634944 + 437520889 = 97712^2 + 20917^2 .

It is a cyclic number.

It is not a de Polignac number, because 9985155833 - 214 = 9985139449 is a prime.

It is not a weakly prime, because it can be changed into another prime (9985055833) 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, 4992577916 + 4992577917.

It is an arithmetic number, because the mean of its divisors is an integer number (4992577917).

Almost surely, 29985155833 is an apocalyptic number.

It is an amenable number.

9985155833 is a deficient number, since it is larger than the sum of its proper divisors (1).

9985155833 is an equidigital number, since it uses as much as digits as its factorization.

9985155833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832000, while the sum is 56.

The square root of 9985155833 is about 99925.7516008761. The cubic root of 9985155833 is about 2153.3681358431.

The spelling of 9985155833 in words is "nine billion, nine hundred eighty-five million, one hundred fifty-five thousand, eight hundred thirty-three".