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5736000113 is a prime number
BaseRepresentation
bin1010101011110010…
…00110101001110001
3112210202021222220122
411111321012221301
543221404000423
62345102220025
7262100124254
oct52571065161
915722258818
105736000113
112483905868
121140b84615
1370549400c
143c5b2b09b
1523888a8c8
hex155e46a71

5736000113 has 2 divisors, whose sum is σ = 5736000114. Its totient is φ = 5736000112.

The previous prime is 5736000097. The next prime is 5736000131. The reversal of 5736000113 is 3110006375.

It is a happy number.

Together with next prime (5736000131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5734729984 + 1270129 = 75728^2 + 1127^2 .

It is a cyclic number.

It is not a de Polignac number, because 5736000113 - 24 = 5736000097 is a prime.

It is not a weakly prime, because it can be changed into another prime (5736000133) 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, 2868000056 + 2868000057.

It is an arithmetic number, because the mean of its divisors is an integer number (2868000057).

Almost surely, 25736000113 is an apocalyptic number.

It is an amenable number.

5736000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

5736000113 is an equidigital number, since it uses as much as digits as its factorization.

5736000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 5736000113 is about 75736.3856610546. The cubic root of 5736000113 is about 1790.0687751734.

Adding to 5736000113 its reverse (3110006375), we get a palindrome (8846006488).

The spelling of 5736000113 in words is "five billion, seven hundred thirty-six million, one hundred thirteen", and thus it is an aban number.