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233568840628657 is a prime number
BaseRepresentation
bin110101000110110111111011…
…110001101011100110110001
31010121222222000002121002010101
4311012313323301223212301
5221103242441200104112
62144432013305032401
7100124535415565662
oct6506677361534661
91117888002532111
10233568840628657
1168470a97453806
1222243258185701
13a0435a7555991
144196b13b4b369
151c009dcb3d757
hexd46dfbc6b9b1

233568840628657 has 2 divisors, whose sum is σ = 233568840628658. Its totient is φ = 233568840628656.

The previous prime is 233568840628621. The next prime is 233568840628703. The reversal of 233568840628657 is 756826048865332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136187943061681 + 97380897566976 = 11669959^2 + 9868176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233568840628657 is a prime.

It is a super-2 number, since 2×2335688406286572 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233568840628657.

It is not a weakly prime, because it can be changed into another prime (233568840608657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116784420314328 + 116784420314329.

It is an arithmetic number, because the mean of its divisors is an integer number (116784420314329).

Almost surely, 2233568840628657 is an apocalyptic number.

It is an amenable number.

233568840628657 is a deficient number, since it is larger than the sum of its proper divisors (1).

233568840628657 is an equidigital number, since it uses as much as digits as its factorization.

233568840628657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2786918400, while the sum is 73.

The spelling of 233568840628657 in words is "two hundred thirty-three trillion, five hundred sixty-eight billion, eight hundred forty million, six hundred twenty-eight thousand, six hundred fifty-seven".