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5285820001 = 7111312572039
BaseRepresentation
bin1001110110000111…
…10011011001100001
3111122101012110220011
410323003303121201
541311132220001
62232301244521
7244662504640
oct47303633141
914571173804
105285820001
112272786890
121036263741
13663133357
14382023357
1520e0b3d51
hex13b0f3661

5285820001 has 32 divisors (see below), whose sum is σ = 6669527040. Its totient is φ = 4069478400.

The previous prime is 5285819993. The next prime is 5285820011. The reversal of 5285820001 is 1000285825.

It is a cyclic number.

It is not a de Polignac number, because 5285820001 - 23 = 5285819993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5285820011) 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 in 31 ways as a sum of consecutive naturals, for example, 2591340 + ... + 2593378.

It is an arithmetic number, because the mean of its divisors is an integer number (208422720).

Almost surely, 25285820001 is an apocalyptic number.

It is an amenable number.

5285820001 is a deficient number, since it is larger than the sum of its proper divisors (1383707039).

5285820001 is a wasteful number, since it uses less digits than its factorization.

5285820001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445.

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 5285820001 is about 72703.6450324191. The cubic root of 5285820001 is about 1741.9571056869.

The spelling of 5285820001 in words is "five billion, two hundred eighty-five million, eight hundred twenty thousand, one".

Divisors: 1 7 11 77 131 257 917 1441 1799 2039 2827 10087 14273 19789 22429 33667 157003 235669 267109 370337 524023 1869763 2592359 2938199 3668161 5764253 20567393 40349771 68647013 480529091 755117143 5285820001