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9042133057 is a prime number
BaseRepresentation
bin10000110101111010…
…00000000001000001
3212100011100221200221
420122331000001001
5122004241224212
64053124143041
7440033601646
oct103275000101
925304327627
109042133057
113920059441
121904237a81
13b114129b9
1461ac61dcd
1537dc50807
hex21af40041

9042133057 has 2 divisors, whose sum is σ = 9042133058. Its totient is φ = 9042133056.

The previous prime is 9042133007. The next prime is 9042133081. The reversal of 9042133057 is 7503312409.

9042133057 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4838037136 + 4204095921 = 69556^2 + 64839^2 .

It is a cyclic number.

It is not a de Polignac number, because 9042133057 - 223 = 9033744449 is a prime.

It is not a weakly prime, because it can be changed into another prime (9042133007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4521066528 + 4521066529.

It is an arithmetic number, because the mean of its divisors is an integer number (4521066529).

Almost surely, 29042133057 is an apocalyptic number.

It is an amenable number.

9042133057 is a deficient number, since it is larger than the sum of its proper divisors (1).

9042133057 is an equidigital number, since it uses as much as digits as its factorization.

9042133057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 9042133057 is about 95090.1312282195. The cubic root of 9042133057 is about 2083.3247076308.

The spelling of 9042133057 in words is "nine billion, forty-two million, one hundred thirty-three thousand, fifty-seven".