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6820000009 is a prime number
BaseRepresentation
bin1100101101000000…
…01111000100001001
3122121022000220012221
412112200033010021
5102431410000014
63044424134041
7331002020644
oct62640170411
918538026187
106820000009
11298a791a49
1213a4007321
13848c32084
14489aa2a5b
1529db10b24
hex19680f109

6820000009 has 2 divisors, whose sum is σ = 6820000010. Its totient is φ = 6820000008.

The previous prime is 6819999971. The next prime is 6820000021. The reversal of 6820000009 is 9000000286.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6803775225 + 16224784 = 82485^2 + 4028^2 .

It is a cyclic number.

It is not a de Polignac number, because 6820000009 - 213 = 6819991817 is a prime.

It is not a weakly prime, because it can be changed into another prime (6820000909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3410000004 + 3410000005.

It is an arithmetic number, because the mean of its divisors is an integer number (3410000005).

Almost surely, 26820000009 is an apocalyptic number.

It is an amenable number.

6820000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

6820000009 is an equidigital number, since it uses as much as digits as its factorization.

6820000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 6820000009 is about 82583.2913427408. The cubic root of 6820000009 is about 1896.3920459067.

The spelling of 6820000009 in words is "six billion, eight hundred twenty million, nine", and thus it is an aban number.