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5285115825 = 3521118773413
BaseRepresentation
bin1001110110000010…
…00111011110110001
3111122022212200221120
410323001013132301
541310442201300
62232234212453
7244653512643
oct47301073661
914568780846
105285115825
112272345820
121035b84129
13662c47992
14381cbc893
1520dec53a0
hex13b0477b1

5285115825 has 48 divisors (see below), whose sum is σ = 9540300096. Its totient is φ = 2560364800.

The previous prime is 5285115811. The next prime is 5285115859.

5285115825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5285115825 - 25 = 5285115793 is a prime.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 1546819 + ... + 1550231.

It is an arithmetic number, because the mean of its divisors is an integer number (198756252).

Almost surely, 25285115825 is an apocalyptic number.

5285115825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5285115825 is a deficient number, since it is larger than the sum of its proper divisors (4255184271).

5285115825 is a wasteful number, since it uses less digits than its factorization.

5285115825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5309 counting only the distinct ones).

The product of its digits is 160000, while the sum is 42.

The square root of 5285115825 is about 72698.8020877923. The cubic root of 5285115825 is about 1741.8797478463.

The spelling of 5285115825 in words is "five billion, two hundred eighty-five million, one hundred fifteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 1877 3413 5631 9385 10239 17065 20647 28155 37543 46925 51195 61941 85325 103235 112629 140775 187715 255975 309705 516175 563145 938575 1548525 2815725 6406201 19218603 32031005 70468211 96093015 160155025 211404633 352341055 480465075 1057023165 1761705275 5285115825