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9993000617 is a prime number
BaseRepresentation
bin10010100111010000…
…10001011010101001
3221210102121000202222
421103220101122221
5130431202004432
64331332403425
7502431050405
oct112350213251
927712530688
109993000617
1142688742a6
121b2a776575
13c33409622
146ab260105
153d7479112
hex253a116a9

9993000617 has 2 divisors, whose sum is σ = 9993000618. Its totient is φ = 9993000616.

The previous prime is 9993000613. The next prime is 9993000631. The reversal of 9993000617 is 7160003999.

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., 5694362521 + 4298638096 = 75461^2 + 65564^2 .

It is an emirp because it is prime and its reverse (7160003999) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9993000617 - 22 = 9993000613 is a prime.

It is a super-2 number, since 2×99930006172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9993000613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4996500308 + 4996500309.

It is an arithmetic number, because the mean of its divisors is an integer number (4996500309).

Almost surely, 29993000617 is an apocalyptic number.

It is an amenable number.

9993000617 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993000617 is an equidigital number, since it uses as much as digits as its factorization.

9993000617 is an odious number, because the sum of its binary digits is odd.

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

The square root of 9993000617 is about 99964.9969589356. The cubic root of 9993000617 is about 2153.9319155918.

The spelling of 9993000617 in words is "nine billion, nine hundred ninety-three million, six hundred seventeen", and thus it is an aban number.