Search a number
-
+
18382002020 = 22510126933829
BaseRepresentation
bin10001000111101001…
…110001011101100100
31202110001222110021122
4101013221301131210
5300121243031040
612240010033112
71220344303424
oct210751613544
952401873248
1018382002020
117883185208
123690118798
13196c40ca95
14c65468484
15728bb41b5
hex447a71764

18382002020 has 48 divisors (see below), whose sum is σ = 39130484400. Its totient is φ = 7252723200.

The previous prime is 18382002011. The next prime is 18382002073. The reversal of 18382002020 is 2020028381.

It can be written as a sum of positive squares in 8 ways, for example, as 107288164 + 18274713856 = 10358^2 + 135184^2 .

It is a super-3 number, since 3×183820020203 (a number of 32 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 526466 + ... + 560294.

It is an arithmetic number, because the mean of its divisors is an integer number (815218425).

Almost surely, 218382002020 is an apocalyptic number.

18382002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18382002020 is an abundant number, since it is smaller than the sum of its proper divisors (20748482380).

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

18382002020 is a wasteful number, since it uses less digits than its factorization.

18382002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34208 (or 34206 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 18382002020 in words is "eighteen billion, three hundred eighty-two million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 269 404 505 538 1010 1076 1345 2020 2690 5380 27169 33829 54338 67658 108676 135316 135845 169145 271690 338290 543380 676580 3416729 6833458 9100001 13666916 17083645 18200002 34167290 36400004 45500005 68334580 91000010 182000020 919100101 1838200202 3676400404 4595500505 9191001010 18382002020