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58435649317 is a prime number
BaseRepresentation
bin110110011011000010…
…010011111100100101
312120211110222120001001
4312123002103330211
51424134011234232
642502302433301
74136042552353
oct663302237445
9176743876031
1058435649317
1122867445261
12b3a9b92831
1356836268b6
142b84bdc7d3
1517c02466e7
hexd9b093f25

58435649317 has 2 divisors, whose sum is σ = 58435649318. Its totient is φ = 58435649316.

The previous prime is 58435649309. The next prime is 58435649353. The reversal of 58435649317 is 71394653485.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57064132161 + 1371517156 = 238881^2 + 37034^2 .

It is a cyclic number.

It is not a de Polignac number, because 58435649317 - 23 = 58435649309 is a prime.

It is a super-2 number, since 2×584356493172 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58435649387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29217824658 + 29217824659.

It is an arithmetic number, because the mean of its divisors is an integer number (29217824659).

Almost surely, 258435649317 is an apocalyptic number.

It is an amenable number.

58435649317 is a deficient number, since it is larger than the sum of its proper divisors (1).

58435649317 is an equidigital number, since it uses as much as digits as its factorization.

58435649317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10886400, while the sum is 55.

The spelling of 58435649317 in words is "fifty-eight billion, four hundred thirty-five million, six hundred forty-nine thousand, three hundred seventeen".