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289396350457 is a prime number
BaseRepresentation
bin1000011011000010101…
…11011101110111111001
31000122222112021211010021
410031201113131313321
514220140431203312
6340540304050441
726623340251234
oct4154127356771
91018875254107
10289396350457
11101806771475
1248106303a21
13213a0068676
1410014b6641b
1577db811c07
hex43615dddf9

289396350457 has 2 divisors, whose sum is σ = 289396350458. Its totient is φ = 289396350456.

The previous prime is 289396350421. The next prime is 289396350491. The reversal of 289396350457 is 754053693982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220844543481 + 68551806976 = 469941^2 + 261824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289396350457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 289396350395 and 289396350404.

It is not a weakly prime, because it can be changed into another prime (289396350407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144698175228 + 144698175229.

It is an arithmetic number, because the mean of its divisors is an integer number (144698175229).

Almost surely, 2289396350457 is an apocalyptic number.

It is an amenable number.

289396350457 is a deficient number, since it is larger than the sum of its proper divisors (1).

289396350457 is an equidigital number, since it uses as much as digits as its factorization.

289396350457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48988800, while the sum is 61.

The spelling of 289396350457 in words is "two hundred eighty-nine billion, three hundred ninety-six million, three hundred fifty thousand, four hundred fifty-seven".