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2006242664 = 236110937717
BaseRepresentation
bin111011110010100…
…1101010101101000
312011211002200112212
41313211031111220
513102044231124
6531024424252
7100500531656
oct16745152550
95154080485
102006242664
1193a520898
1247ba78088
1325c85194a
14150641dd6
15bb1e740e
hex7794d568

2006242664 has 32 divisors (see below), whose sum is σ = 3858551400. Its totient is φ = 977598720.

The previous prime is 2006242663. The next prime is 2006242691. The reversal of 2006242664 is 4662426002.

It can be written as a sum of positive squares in 4 ways, for example, as 1886164900 + 120077764 = 43430^2 + 10958^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2006242664.

It is not an unprimeable number, because it can be changed into a prime (2006242663) 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 7 ways as a sum of consecutive naturals, for example, 34334 + ... + 72050.

Almost surely, 22006242664 is an apocalyptic number.

It is an amenable number.

2006242664 is a deficient number, since it is larger than the sum of its proper divisors (1852308736).

2006242664 is a wasteful number, since it uses less digits than its factorization.

2006242664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37893 (or 37889 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 2006242664 is about 44791.1002767291. The cubic root of 2006242664 is about 1261.2305656575.

Adding to 2006242664 its reverse (4662426002), we get a palindrome (6668668666).

It can be divided in two parts, 20062 and 42664, that added together give a palindrome (62726).

The spelling of 2006242664 in words is "two billion, six million, two hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 61 109 122 218 244 436 488 872 6649 13298 26596 37717 53192 75434 150868 301736 2300737 4111153 4601474 8222306 9202948 16444612 18405896 32889224 250780333 501560666 1003121332 2006242664