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289084042657 is a prime number
BaseRepresentation
bin1000011010011101100…
…00000110110110100001
31000122011202121221100201
410031032300012312201
514214021003331112
6340445310145201
726612525550664
oct4151660066641
91018152557321
10289084042657
11101666450a53
12480397b2201
132135044b757
14ddc54ab6db
1577be1c1257
hex434ec06da1

289084042657 has 2 divisors, whose sum is σ = 289084042658. Its totient is φ = 289084042656.

The previous prime is 289084042651. The next prime is 289084042691. The reversal of 289084042657 is 756240480982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191004835681 + 98079206976 = 437041^2 + 313176^2 .

It is a cyclic number.

It is not a de Polignac number, because 289084042657 - 23 = 289084042649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 289084042598 and 289084042607.

It is not a weakly prime, because it can be changed into another prime (289084042651) 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, 144542021328 + 144542021329.

It is an arithmetic number, because the mean of its divisors is an integer number (144542021329).

Almost surely, 2289084042657 is an apocalyptic number.

It is an amenable number.

289084042657 is a deficient number, since it is larger than the sum of its proper divisors (1).

289084042657 is an equidigital number, since it uses as much as digits as its factorization.

289084042657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 289084042657 in words is "two hundred eighty-nine billion, eighty-four million, forty-two thousand, six hundred fifty-seven".