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10542578729 is a prime number
BaseRepresentation
bin10011101000110001…
…01111110000101001
31000012201201111012212
421310120233300221
5133042400004404
64502044014505
7522153304064
oct116430576051
930181644185
1010542578729
114520013491
122062831435
13cc022ca87
1472023d8db
1541a83706e
hex27462fc29

10542578729 has 2 divisors, whose sum is σ = 10542578730. Its totient is φ = 10542578728.

The previous prime is 10542578719. The next prime is 10542578777. The reversal of 10542578729 is 92787524501.

10542578729 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., 10510350400 + 32228329 = 102520^2 + 5677^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10542578729 is a prime.

It is a super-2 number, since 2×105425787292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10542578719) 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, 5271289364 + 5271289365.

It is an arithmetic number, because the mean of its divisors is an integer number (5271289365).

Almost surely, 210542578729 is an apocalyptic number.

It is an amenable number.

10542578729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10542578729 is an equidigital number, since it uses as much as digits as its factorization.

10542578729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1411200, while the sum is 50.

The spelling of 10542578729 in words is "ten billion, five hundred forty-two million, five hundred seventy-eight thousand, seven hundred twenty-nine".