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30042667729 is a prime number
BaseRepresentation
bin11011111110101011…
…101011101011010001
32212112201120122111101
4123332223223223101
5443011410331404
621445034344401
72112325314364
oct337653535321
985481518441
1030042667729
1111817336a18
1259a528b101
132aaa183c89
14164dd940db
15bac7562a4
hex6feaebad1

30042667729 has 2 divisors, whose sum is σ = 30042667730. Its totient is φ = 30042667728.

The previous prime is 30042667717. The next prime is 30042667751. The reversal of 30042667729 is 92776624003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27868963600 + 2173704129 = 166940^2 + 46623^2 .

It is a cyclic number.

It is not a de Polignac number, because 30042667729 - 219 = 30042143441 is a prime.

It is not a weakly prime, because it can be changed into another prime (30042667789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15021333864 + 15021333865.

It is an arithmetic number, because the mean of its divisors is an integer number (15021333865).

Almost surely, 230042667729 is an apocalyptic number.

It is an amenable number.

30042667729 is a deficient number, since it is larger than the sum of its proper divisors (1).

30042667729 is an equidigital number, since it uses as much as digits as its factorization.

30042667729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 30042667729 in words is "thirty billion, forty-two million, six hundred sixty-seven thousand, seven hundred twenty-nine".