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58208071729 is a prime number
BaseRepresentation
bin110110001101011110…
…001011000000110001
312120020121202102021111
4312031132023000301
51423202231243404
642423532553321
74130310306013
oct661536130061
9176217672244
1058208071729
112275aa36905
12b345922841
1356484350c2
142b628bc1b3
1517aa291104
hexd8d78b031

58208071729 has 2 divisors, whose sum is σ = 58208071730. Its totient is φ = 58208071728.

The previous prime is 58208071679. The next prime is 58208071739. The reversal of 58208071729 is 92717080285.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33489000000 + 24719071729 = 183000^2 + 157223^2 .

It is a cyclic number.

It is not a de Polignac number, because 58208071729 - 223 = 58199683121 is a prime.

It is a super-2 number, since 2×582080717292 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (58208071739) 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, 29104035864 + 29104035865.

It is an arithmetic number, because the mean of its divisors is an integer number (29104035865).

Almost surely, 258208071729 is an apocalyptic number.

It is an amenable number.

58208071729 is a deficient number, since it is larger than the sum of its proper divisors (1).

58208071729 is an equidigital number, since it uses as much as digits as its factorization.

58208071729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 49.

The spelling of 58208071729 in words is "fifty-eight billion, two hundred eight million, seventy-one thousand, seven hundred twenty-nine".