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10138765657 is a prime number
BaseRepresentation
bin10010111000101000…
…10100100101011001
3222011120212122211011
421130110110211121
5131231011000112
64354020533521
7506151041356
oct113424244531
928146778734
1010138765657
114333083779
121b6b5512a1
13c57684a27
146c276562d
153e516daa7
hex25c514959

10138765657 has 2 divisors, whose sum is σ = 10138765658. Its totient is φ = 10138765656.

The previous prime is 10138765613. The next prime is 10138765801. The reversal of 10138765657 is 75656783101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10044850176 + 93915481 = 100224^2 + 9691^2 .

It is a cyclic number.

It is not a de Polignac number, because 10138765657 - 27 = 10138765529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10138765657.

It is not a weakly prime, because it can be changed into another prime (10138765957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5069382828 + 5069382829.

It is an arithmetic number, because the mean of its divisors is an integer number (5069382829).

Almost surely, 210138765657 is an apocalyptic number.

It is an amenable number.

10138765657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10138765657 is an equidigital number, since it uses as much as digits as its factorization.

10138765657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 10138765657 in words is "ten billion, one hundred thirty-eight million, seven hundred sixty-five thousand, six hundred fifty-seven".