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10536795349 is a prime number
BaseRepresentation
bin10011101000000101…
…01011110011010101
31000012022211122220121
421310002223303111
5133034404422344
64501320031541
7522053165653
oct116402536325
930168748817
1010536795349
114517823333
1220609025b1
13cbbc86562
1471d575dd3
1541a093684
hex2740abcd5

10536795349 has 2 divisors, whose sum is σ = 10536795350. Its totient is φ = 10536795348.

The previous prime is 10536795331. The next prime is 10536795371. The reversal of 10536795349 is 94359763501.

10536795349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6071214724 + 4465580625 = 77918^2 + 66825^2 .

It is a cyclic number.

It is not a de Polignac number, because 10536795349 - 25 = 10536795317 is a prime.

It is a super-2 number, since 2×105367953492 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10536795296 and 10536795305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10536795319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5268397674 + 5268397675.

It is an arithmetic number, because the mean of its divisors is an integer number (5268397675).

Almost surely, 210536795349 is an apocalyptic number.

It is an amenable number.

10536795349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10536795349 is an equidigital number, since it uses as much as digits as its factorization.

10536795349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3061800, while the sum is 52.

The spelling of 10536795349 in words is "ten billion, five hundred thirty-six million, seven hundred ninety-five thousand, three hundred forty-nine".