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5105625300 = 22325217333701
BaseRepresentation
bin1001100000101000…
…11010100011010100
3111011211010122020100
410300110122203110
540424020002200
62202343134100
7240344045646
oct46024324324
914154118210
105105625300
11218aaa0946
12ba5a44330
136349c1979
14366118896
151ed36cd00
hex13051a8d4

5105625300 has 108 divisors (see below), whose sum is σ = 16944720156. Its totient is φ = 1281408000.

The previous prime is 5105625289. The next prime is 5105625319. The reversal of 5105625300 is 35265015.

5105625300 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 625 + 30 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 405700164 + 4699925136 = 20142^2 + 68556^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151551 + ... + 182150.

It is an arithmetic number, because the mean of its divisors is an integer number (156895557).

Almost surely, 25105625300 is an apocalyptic number.

5105625300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5105625300 is an abundant number, since it is smaller than the sum of its proper divisors (11839094856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5105625300 is a wasteful number, since it uses less digits than its factorization.

5105625300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333738 (or 333728 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5105625300 is about 71453.6584087897. The cubic root of 5105625300 is about 1721.9332530470.

The spelling of 5105625300 in words is "five billion, one hundred five million, six hundred twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 333701 667402 1001103 1334804 1668505 2002206 3003309 3337010 4004412 5005515 5672917 6006618 6674020 8342525 10011030 11345834 12013236 15016545 16685050 17018751 20022060 22691668 25027575 28364585 30033090 33370100 34037502 50055150 51056253 56729170 60066180 68075004 75082725 85093755 100110300 102112506 113458340 141822925 150165450 170187510 204225012 255281265 283645850 300330900 340375020 425468775 510562530 567291700 850937550 1021125060 1276406325 1701875100 2552812650 5105625300