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9057372001 is a prime number
BaseRepresentation
bin10000110111101110…
…01000011101100001
3212101020001011121021
420123313020131201
5122022141401001
64054430525441
7440310251236
oct103367103541
925336034537
109057372001
113928717707
121909366881
13b1461a022
1461ccab78d
15380260ba1
hex21bdc8761

9057372001 has 2 divisors, whose sum is σ = 9057372002. Its totient is φ = 9057372000.

The previous prime is 9057371977. The next prime is 9057372007. The reversal of 9057372001 is 1002737509.

9057372001 is digitally balanced in base 2, 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., 5567398225 + 3489973776 = 74615^2 + 59076^2 .

It is a cyclic number.

It is not a de Polignac number, because 9057372001 - 221 = 9055274849 is a prime.

It is not a weakly prime, because it can be changed into another prime (9057372007) 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, 4528686000 + 4528686001.

It is an arithmetic number, because the mean of its divisors is an integer number (4528686001).

Almost surely, 29057372001 is an apocalyptic number.

It is an amenable number.

9057372001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9057372001 is an equidigital number, since it uses as much as digits as its factorization.

9057372001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 9057372001 is about 95170.2264418868. The cubic root of 9057372001 is about 2084.4944113564.

The spelling of 9057372001 in words is "nine billion, fifty-seven million, three hundred seventy-two thousand, one".