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9985802993 is a prime number
BaseRepresentation
bin10010100110011001…
…10100001011110001
3221202221001100111022
421103030310023301
5130422331143433
64330514225225
7502312632155
oct112314641361
927687040438
109985802993
1142647a8651
121b28285215
13c31a8948a
146aa309065
153d6a06698
hex2533342f1

9985802993 has 2 divisors, whose sum is σ = 9985802994. Its totient is φ = 9985802992.

The previous prime is 9985802989. The next prime is 9985802999. The reversal of 9985802993 is 3992085899.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8741689009 + 1244113984 = 93497^2 + 35272^2 .

It is a cyclic number.

It is not a de Polignac number, because 9985802993 - 22 = 9985802989 is a prime.

It is a super-2 number, since 2×99858029932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9985802999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4992901496 + 4992901497.

It is an arithmetic number, because the mean of its divisors is an integer number (4992901497).

Almost surely, 29985802993 is an apocalyptic number.

It is an amenable number.

9985802993 is a deficient number, since it is larger than the sum of its proper divisors (1).

9985802993 is an equidigital number, since it uses as much as digits as its factorization.

9985802993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12597120, while the sum is 62.

The square root of 9985802993 is about 99928.9897527239. The cubic root of 9985802993 is about 2153.4146563528.

The spelling of 9985802993 in words is "nine billion, nine hundred eighty-five million, eight hundred two thousand, nine hundred ninety-three".