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58534735249 is a prime number
BaseRepresentation
bin110110100000111100…
…010010110110010001
312121002101102122101101
4312200330102312101
51424334343011444
642520202304401
74141355016544
oct664074226621
9177071378341
1058534735249
1122908371a61
12b4171b8101
13569b00a323
142b9403285b
1517c8cba3d4
hexda0f12d91

58534735249 has 2 divisors, whose sum is σ = 58534735250. Its totient is φ = 58534735248.

The previous prime is 58534735199. The next prime is 58534735271. The reversal of 58534735249 is 94253743585.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31704295249 + 26830440000 = 178057^2 + 163800^2 .

It is a cyclic number.

It is not a de Polignac number, because 58534735249 - 233 = 49944800657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 58534735249.

It is not a weakly prime, because it can be changed into another prime (58534735349) 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, 29267367624 + 29267367625.

It is an arithmetic number, because the mean of its divisors is an integer number (29267367625).

Almost surely, 258534735249 is an apocalyptic number.

It is an amenable number.

58534735249 is a deficient number, since it is larger than the sum of its proper divisors (1).

58534735249 is an equidigital number, since it uses as much as digits as its factorization.

58534735249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144000, while the sum is 55.

The spelling of 58534735249 in words is "fifty-eight billion, five hundred thirty-four million, seven hundred thirty-five thousand, two hundred forty-nine".