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10009838857 is a prime number
BaseRepresentation
bin10010101001010001…
…00000010100001001
3221211121021111111111
421110220200110021
5131000004320412
64333133330321
7503024140444
oct112450402411
927747244444
1010009838857
1142773250a7
121b343369a1
13c36a53895
153d8ba32a7
hex254a20509

10009838857 has 2 divisors, whose sum is σ = 10009838858. Its totient is φ = 10009838856.

The previous prime is 10009838849. The next prime is 10009838863. The reversal of 10009838857 is 75883890001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7087787721 + 2922051136 = 84189^2 + 54056^2 .

It is a cyclic number.

It is not a de Polignac number, because 10009838857 - 23 = 10009838849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10009838857.

It is not a weakly prime, because it can be changed into another prime (10009838827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004919428 + 5004919429.

It is an arithmetic number, because the mean of its divisors is an integer number (5004919429).

Almost surely, 210009838857 is an apocalyptic number.

It is an amenable number.

10009838857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009838857 is an equidigital number, since it uses as much as digits as its factorization.

10009838857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 10009838857 in words is "ten billion, nine million, eight hundred thirty-eight thousand, eight hundred fifty-seven".