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10786517009 is a prime number
BaseRepresentation
bin10100000101110110…
…10011000000010001
31000211201201211121222
422002323103000101
5134042322021014
64542200254425
7531204611312
oct120273230021
930751654558
1010786517009
114635786974
122110471415
13102b92c358
147447bc609
15431e7008e
hex282ed3011

10786517009 has 2 divisors, whose sum is σ = 10786517010. Its totient is φ = 10786517008.

The previous prime is 10786516973. The next prime is 10786517041. The reversal of 10786517009 is 90071568701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10670890000 + 115627009 = 103300^2 + 10753^2 .

It is a cyclic number.

It is not a de Polignac number, because 10786517009 - 28 = 10786516753 is a prime.

It is not a weakly prime, because it can be changed into another prime (10786717009) 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, 5393258504 + 5393258505.

It is an arithmetic number, because the mean of its divisors is an integer number (5393258505).

Almost surely, 210786517009 is an apocalyptic number.

It is an amenable number.

10786517009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10786517009 is an equidigital number, since it uses as much as digits as its factorization.

10786517009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 44.

The spelling of 10786517009 in words is "ten billion, seven hundred eighty-six million, five hundred seventeen thousand, nine".