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10613854729 is a prime number
BaseRepresentation
bin10011110001010001…
…01001001000001001
31000101200211200111201
421320220221020021
5133214121322404
64513111424201
7524010163612
oct117050511011
930350750451
1010613854729
114557276175
122082685061
131001c2731a
147298b4c09
15421c15ca4
hex278a29209

10613854729 has 2 divisors, whose sum is σ = 10613854730. Its totient is φ = 10613854728.

The previous prime is 10613854717. The next prime is 10613854763. The reversal of 10613854729 is 92745831601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8523536329 + 2090318400 = 92323^2 + 45720^2 .

It is a cyclic number.

It is not a de Polignac number, because 10613854729 - 25 = 10613854697 is a prime.

It is a super-2 number, since 2×106138547292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10613854799) 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, 5306927364 + 5306927365.

It is an arithmetic number, because the mean of its divisors is an integer number (5306927365).

It is a 1-persistent number, because it is pandigital, but 2⋅10613854729 = 21227709458 is not.

Almost surely, 210613854729 is an apocalyptic number.

It is an amenable number.

10613854729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10613854729 is an equidigital number, since it uses as much as digits as its factorization.

10613854729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10613854729 in words is "ten billion, six hundred thirteen million, eight hundred fifty-four thousand, seven hundred twenty-nine".