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6985885820 = 2251773328031
BaseRepresentation
bin1101000000110010…
…00010100001111100
3200000212011202202212
412200121002201330
5103301341321240
63113111435552
7335055023024
oct64031024174
920025152685
106985885820
112a65394461
12142b685bb8
13874403864
144a3b24a84
152ad47c165
hex1a064287c

6985885820 has 48 divisors (see below), whose sum is σ = 15555068928. Its totient is φ = 2626298880.

The previous prime is 6985885801. The next prime is 6985885877. The reversal of 6985885820 is 285885896.

It is a self number, because there is not a number n which added to its sum of digits gives 6985885820.

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 15 ways as a sum of consecutive naturals, for example, 235205 + ... + 263235.

It is an arithmetic number, because the mean of its divisors is an integer number (324063936).

Almost surely, 26985885820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6985885820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777534464).

6985885820 is an abundant number, since it is smaller than the sum of its proper divisors (8569183108).

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

6985885820 is a wasteful number, since it uses less digits than its factorization.

6985885820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28790 (or 28788 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 59.

The square root of 6985885820 is about 83581.6117336822. The cubic root of 6985885820 is about 1911.6446293518.

The spelling of 6985885820 in words is "six billion, nine hundred eighty-five million, eight hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 733 1466 2932 3665 7330 12461 14660 24922 28031 49844 56062 62305 112124 124610 140155 249220 280310 476527 560620 953054 1906108 2382635 4765270 9530540 20546723 41093446 82186892 102733615 205467230 349294291 410934460 698588582 1397177164 1746471455 3492942910 6985885820