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9085070957 is a prime number
BaseRepresentation
bin10000111011000001…
…10010111001101101
3212110011011102102112
420131200302321231
5122101234232312
64101300333405
7441064554224
oct103540627155
925404142375
109085070957
113942316306
1219166a4265
13b1a297841
1462283bcbb
153828d2d22
hex21d832e6d

9085070957 has 2 divisors, whose sum is σ = 9085070958. Its totient is φ = 9085070956.

The previous prime is 9085070933. The next prime is 9085070959. The reversal of 9085070957 is 7590705809.

9085070957 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., 7398408196 + 1686662761 = 86014^2 + 41069^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9085070957 is a prime.

Together with 9085070959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9085070959) 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, 4542535478 + 4542535479.

It is an arithmetic number, because the mean of its divisors is an integer number (4542535479).

Almost surely, 29085070957 is an apocalyptic number.

It is an amenable number.

9085070957 is a deficient number, since it is larger than the sum of its proper divisors (1).

9085070957 is an equidigital number, since it uses as much as digits as its factorization.

9085070957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 793800, while the sum is 50.

The square root of 9085070957 is about 95315.6385752097. The cubic root of 9085070957 is about 2086.6171595798.

The spelling of 9085070957 in words is "nine billion, eighty-five million, seventy thousand, nine hundred fifty-seven".