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9057142729 is a prime number
BaseRepresentation
bin10000110111101100…
…10000011111001001
3212101012121112002201
420123312100133021
5122022112031404
64054422000201
7440305304635
oct103366203711
925335545081
109057142729
113928580428
121909276061
13b1456986b
1461cc4bdc5
15380217ca4
hex21bd907c9

9057142729 has 2 divisors, whose sum is σ = 9057142730. Its totient is φ = 9057142728.

The previous prime is 9057142727. The next prime is 9057142741. The reversal of 9057142729 is 9272417509.

It is a happy number.

9057142729 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., 6619449600 + 2437693129 = 81360^2 + 49373^2 .

It is an emirp because it is prime and its reverse (9272417509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9057142729 - 21 = 9057142727 is a prime.

Together with 9057142727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (9057142727) 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, 4528571364 + 4528571365.

It is an arithmetic number, because the mean of its divisors is an integer number (4528571365).

Almost surely, 29057142729 is an apocalyptic number.

It is an amenable number.

9057142729 is a deficient number, since it is larger than the sum of its proper divisors (1).

9057142729 is an equidigital number, since it uses as much as digits as its factorization.

9057142729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 9057142729 is about 95169.0218978844. The cubic root of 9057142729 is about 2084.4768227286.

The spelling of 9057142729 in words is "nine billion, fifty-seven million, one hundred forty-two thousand, seven hundred twenty-nine".