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58538518729 is a prime number
BaseRepresentation
bin110110100001001010…
…101110100011001001
312121002122112212100021
4312201022232203021
51424341330044404
642520415340441
74141432125235
oct664112564311
9177078485307
1058538518729
112290a5165a9
12b418521721
13569ba33482
142b947395c5
1517c92b6454
hexda12ae8c9

58538518729 has 2 divisors, whose sum is σ = 58538518730. Its totient is φ = 58538518728.

The previous prime is 58538518721. The next prime is 58538518763. The reversal of 58538518729 is 92781583585.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41637218704 + 16901300025 = 204052^2 + 130005^2 .

It is a cyclic number.

It is not a de Polignac number, because 58538518729 - 23 = 58538518721 is a prime.

It is not a weakly prime, because it can be changed into another prime (58538518721) 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, 29269259364 + 29269259365.

It is an arithmetic number, because the mean of its divisors is an integer number (29269259365).

Almost surely, 258538518729 is an apocalyptic number.

It is an amenable number.

58538518729 is a deficient number, since it is larger than the sum of its proper divisors (1).

58538518729 is an equidigital number, since it uses as much as digits as its factorization.

58538518729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192000, while the sum is 61.

The spelling of 58538518729 in words is "fifty-eight billion, five hundred thirty-eight million, five hundred eighteen thousand, seven hundred twenty-nine".