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657142093 is a prime number
BaseRepresentation
bin100111001010110…
…011000101001101
31200210112021111001
4213022303011031
52321212021333
6145112500301
722166421106
oct4712630515
91623467431
10657142093
11307a37643
121640aa691
13a61b4a9a
14633bd3ad
153ca58b7d
hex272b314d

657142093 has 2 divisors, whose sum is σ = 657142094. Its totient is φ = 657142092.

The previous prime is 657142063. The next prime is 657142127. The reversal of 657142093 is 390241756.

657142093 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., 621106084 + 36036009 = 24922^2 + 6003^2 .

It is a cyclic number.

It is not a de Polignac number, because 657142093 - 229 = 120271181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (657142043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328571046 + 328571047.

It is an arithmetic number, because the mean of its divisors is an integer number (328571047).

Almost surely, 2657142093 is an apocalyptic number.

It is an amenable number.

657142093 is a deficient number, since it is larger than the sum of its proper divisors (1).

657142093 is an equidigital number, since it uses as much as digits as its factorization.

657142093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 657142093 is about 25634.7828740561. The cubic root of 657142093 is about 869.4002529651.

The spelling of 657142093 in words is "six hundred fifty-seven million, one hundred forty-two thousand, ninety-three".