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10009848857 is a prime number
BaseRepresentation
bin10010101001010001…
…00010110000011001
3221211121022000012212
421110220202300121
5131000010130412
64333133444505
7503024211551
oct112450426031
927747260185
1010009848857
114277331668
121b34340735
13c36a582b8
146ad5a8161
153d8ba6222
hex254a22c19

10009848857 has 2 divisors, whose sum is σ = 10009848858. Its totient is φ = 10009848856.

The previous prime is 10009848851. The next prime is 10009848859. The reversal of 10009848857 is 75884890001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5807049616 + 4202799241 = 76204^2 + 64829^2 .

It is a cyclic number.

It is not a de Polignac number, because 10009848857 - 216 = 10009783321 is a prime.

Together with 10009848859, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10009848851) 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, 5004924428 + 5004924429.

It is an arithmetic number, because the mean of its divisors is an integer number (5004924429).

Almost surely, 210009848857 is an apocalyptic number.

It is an amenable number.

10009848857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009848857 is an equidigital number, since it uses as much as digits as its factorization.

10009848857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 50.

The spelling of 10009848857 in words is "ten billion, nine million, eight hundred forty-eight thousand, eight hundred fifty-seven".