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5289669825 = 3521119217761
BaseRepresentation
bin1001110110100100…
…11111010011000001
3111122122110001212020
410323102133103001
541313123413300
62232515552053
7245040310626
oct47322372301
914578401766
105289669825
112274976260
1210375bb629
13663b8075b
1438274634d
1520e5c48a0
hex13b49f4c1

5289669825 has 72 divisors (see below), whose sum is σ = 10069775136. Its totient is φ = 2429568000.

The previous prime is 5289669809. The next prime is 5289669871.

5289669825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5289669825 - 24 = 5289669809 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 71 ways as a sum of consecutive naturals, for example, 288945 + ... + 306705.

It is an arithmetic number, because the mean of its divisors is an integer number (139857988).

Almost surely, 25289669825 is an apocalyptic number.

5289669825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5289669825 is a deficient number, since it is larger than the sum of its proper divisors (4780105311).

5289669825 is a wasteful number, since it uses less digits than its factorization.

5289669825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17823 (or 17799 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 60.

The square root of 5289669825 is about 72730.1163549186. The cubic root of 5289669825 is about 1742.3799098946.

The spelling of 5289669825 in words is "five billion, two hundred eighty-nine million, six hundred sixty-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 19 25 33 55 57 75 95 165 209 275 285 361 475 627 825 1045 1083 1425 1805 3135 3971 5225 5415 9025 11913 15675 17761 19855 27075 53283 59565 88805 99275 195371 266415 297825 337459 444025 586113 976855 1012377 1332075 1687295 2930565 3712049 4884275 5061885 6411721 8436475 11136147 14652825 18560245 19235163 25309425 32058605 55680735 70528931 92801225 96175815 160293025 211586793 278403675 352644655 480879075 1057933965 1763223275 5289669825