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58688025017 is a prime number
BaseRepresentation
bin110110101010000101…
…000011000110111001
312121111001212120102012
4312222011003012321
51430143113300032
642543320015305
74145225660516
oct665205030671
9177431776365
1058688025017
1122986950916
12b45a601535
1356c39bb72b
142baa53630d
1517d74996b2
hexdaa1431b9

58688025017 has 2 divisors, whose sum is σ = 58688025018. Its totient is φ = 58688025016.

The previous prime is 58688024987. The next prime is 58688025023. The reversal of 58688025017 is 71052088685.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54246602281 + 4441422736 = 232909^2 + 66644^2 .

It is a cyclic number.

It is not a de Polignac number, because 58688025017 - 26 = 58688024953 is a prime.

It is not a weakly prime, because it can be changed into another prime (58688025217) 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, 29344012508 + 29344012509.

It is an arithmetic number, because the mean of its divisors is an integer number (29344012509).

Almost surely, 258688025017 is an apocalyptic number.

It is an amenable number.

58688025017 is a deficient number, since it is larger than the sum of its proper divisors (1).

58688025017 is an equidigital number, since it uses as much as digits as its factorization.

58688025017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1075200, while the sum is 50.

The spelling of 58688025017 in words is "fifty-eight billion, six hundred eighty-eight million, twenty-five thousand, seventeen".