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5283305305 = 517419715629
BaseRepresentation
bin1001110101110100…
…01101011101011001
3111122012110201101021
410322322031131121
541310011232210
62232131322441
7244632232315
oct47272153531
914565421337
105283305305
112271319523
121035450421
13662762875
1438196ab45
1520dc68bda
hex13ae8d759

5283305305 has 32 divisors (see below), whose sum is σ = 6947972640. Its totient is φ = 3840737280.

The previous prime is 5283305303. The next prime is 5283305317. The reversal of 5283305305 is 5035033825.

It can be written as a sum of positive squares in 16 ways, for example, as 315311049 + 4967994256 = 17757^2 + 70484^2 .

It is not a de Polignac number, because 5283305305 - 21 = 5283305303 is a prime.

It is a super-2 number, since 2×52833053052 = 55826629891682286050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5283305303) 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 in 31 ways as a sum of consecutive naturals, for example, 330231 + ... + 345859.

It is an arithmetic number, because the mean of its divisors is an integer number (217124145).

Almost surely, 25283305305 is an apocalyptic number.

It is an amenable number.

5283305305 is a deficient number, since it is larger than the sum of its proper divisors (1664667335).

5283305305 is a wasteful number, since it uses less digits than its factorization.

5283305305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15789.

The product of its (nonzero) digits is 54000, while the sum is 34.

The square root of 5283305305 is about 72686.3488214947. The cubic root of 5283305305 is about 1741.6808201145.

The spelling of 5283305305 in words is "five billion, two hundred eighty-three million, three hundred five thousand, three hundred five".

Divisors: 1 5 17 41 85 97 205 485 697 1649 3485 3977 8245 15629 19885 67609 78145 265693 338045 640789 1328465 1516013 3203945 7580065 10893413 25772221 54467065 62156533 128861105 310782665 1056661061 5283305305