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10526045729 is a prime number
BaseRepresentation
bin10011100110110011…
…01011011000100001
31000011120121112012112
421303121223120201
5133024131430404
64500253405105
7521562624653
oct116331533041
930146545175
1010526045729
114511750a51
122059199795
13cb9991734
1471bd786d3
1541916d56e
hex27366b621

10526045729 has 2 divisors, whose sum is σ = 10526045730. Its totient is φ = 10526045728.

The previous prime is 10526045701. The next prime is 10526045773. The reversal of 10526045729 is 92754062501.

10526045729 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., 10053070225 + 472975504 = 100265^2 + 21748^2 .

It is a cyclic number.

It is not a de Polignac number, because 10526045729 - 216 = 10525980193 is a prime.

It is a super-2 number, since 2×105260457292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10526045029) 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, 5263022864 + 5263022865.

It is an arithmetic number, because the mean of its divisors is an integer number (5263022865).

Almost surely, 210526045729 is an apocalyptic number.

It is an amenable number.

10526045729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10526045729 is an equidigital number, since it uses as much as digits as its factorization.

10526045729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 10526045729 in words is "ten billion, five hundred twenty-six million, forty-five thousand, seven hundred twenty-nine".