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9993000761 is a prime number
BaseRepresentation
bin10010100111010000…
…10001011100111001
3221210102121000222022
421103220101130321
5130431202011021
64331332404225
7502431051002
oct112350213471
927712530868
109993000761
114268874417
121b2a776675
13c33409703
146ab2601a9
153d74791ab
hex253a11739

9993000761 has 2 divisors, whose sum is σ = 9993000762. Its totient is φ = 9993000760.

The previous prime is 9993000749. The next prime is 9993000779. The reversal of 9993000761 is 1670003999.

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., 9804762361 + 188238400 = 99019^2 + 13720^2 .

It is an emirp because it is prime and its reverse (1670003999) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9993000761 - 26 = 9993000697 is a prime.

It is not a weakly prime, because it can be changed into another prime (9993000161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4996500380 + 4996500381.

It is an arithmetic number, because the mean of its divisors is an integer number (4996500381).

Almost surely, 29993000761 is an apocalyptic number.

It is an amenable number.

9993000761 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993000761 is an equidigital number, since it uses as much as digits as its factorization.

9993000761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 91854, while the sum is 44.

The square root of 9993000761 is about 99964.9976791877. The cubic root of 9993000761 is about 2153.9319259379.

The spelling of 9993000761 in words is "nine billion, nine hundred ninety-three million, seven hundred sixty-one", and thus it is an aban number.