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282800016044 = 22713262779521
BaseRepresentation
bin1000001110110000011…
…00011100101010101100
31000000221211010022102022
410013120030130222230
514113133301003134
6333525545445312
726301022321460
oct4073014345254
91000854108368
10282800016044
11a9a31266827
12469851a0838
132088b588600
14d98aa864a0
15755268252e
hex41d831caac

282800016044 has 72 divisors (see below), whose sum is σ = 612616380768. Its totient is φ = 111847357440.

The previous prime is 282800016043. The next prime is 282800016073. The reversal of 282800016044 is 440610008282.

It is a junction number, because it is equal to n+sod(n) for n = 282800015995 and 282800016013.

It is not an unprimeable number, because it can be changed into a prime (282800016043) 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 23 ways as a sum of consecutive naturals, for example, 29698004 + ... + 29707524.

It is an arithmetic number, because the mean of its divisors is an integer number (8508560844).

Almost surely, 2282800016044 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 282800016044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306308190384).

282800016044 is an abundant number, since it is smaller than the sum of its proper divisors (329816364724).

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

282800016044 is a wasteful number, since it uses less digits than its factorization.

282800016044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15835 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 282800016044 in words is "two hundred eighty-two billion, eight hundred million, sixteen thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2366 4732 6277 9521 12554 19042 25108 38084 43939 66647 81601 87878 123773 133294 163202 175756 247546 266588 326404 495092 571207 866411 1060813 1142414 1609049 1732822 2121626 2284828 3218098 3465644 4243252 6436196 7425691 11263343 14851382 22526686 29702764 45053372 59763317 119526634 239053268 418343219 776923121 836686438 1553846242 1673372876 3107692484 5438461847 10100000573 10876923694 20200001146 21753847388 40400002292 70700004011 141400008022 282800016044