Search a number
-
+
284490682640 = 2454218446873
BaseRepresentation
bin1000010001111001111…
…01110101000100010000
31000012022122102001222122
410020330331311010100
514130114103321030
6334405422353412
726360641621553
oct4107475650420
91005278361878
10284490682640
11aa71963464a
124717742b868
1320a9a917848
14daab41c69a
157600ce08e5
hex423cf75110

284490682640 has 40 divisors (see below), whose sum is σ = 663012034008. Its totient is φ = 113525959680.

The previous prime is 284490682639. The next prime is 284490682661. The reversal of 284490682640 is 46286094482.

It can be written as a sum of positive squares in 4 ways, for example, as 12828733696 + 271661948944 = 113264^2 + 521212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 4189757 + ... + 4257116.

Almost surely, 2284490682640 is an apocalyptic number.

284490682640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284490682640 is an abundant number, since it is smaller than the sum of its proper divisors (378521351368).

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

284490682640 is a wasteful number, since it uses less digits than its factorization.

284490682640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447307 (or 8447301 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 53.

The spelling of 284490682640 in words is "two hundred eighty-four billion, four hundred ninety million, six hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 421 842 1684 2105 3368 4210 6736 8420 16840 33680 8446873 16893746 33787492 42234365 67574984 84468730 135149968 168937460 337874920 675749840 3556133533 7112267066 14224534132 17780667665 28449068264 35561335330 56898136528 71122670660 142245341320 284490682640