Search a number
-
+
20084800208 = 24111012774079
BaseRepresentation
bin10010101101001001…
…011011101011010000
31220211202002120021012
4102231021123223100
5312113202101313
613120554550052
71310501661554
oct225511335320
956752076235
1020084800208
118577389740
123a86438328
131b81128b85
14d8767b864
157c841bda8
hex4ad25bad0

20084800208 has 80 divisors (see below), whose sum is σ = 43037602560. Its totient is φ = 9004224000.

The previous prime is 20084800201. The next prime is 20084800213. The reversal of 20084800208 is 80200848002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20084800201) 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 15 ways as a sum of consecutive naturals, for example, 4921913 + ... + 4925991.

It is an arithmetic number, because the mean of its divisors is an integer number (537970032).

Almost surely, 220084800208 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 20084800208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21518801280).

20084800208 is an abundant number, since it is smaller than the sum of its proper divisors (22952802352).

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

20084800208 is a wasteful number, since it uses less digits than its factorization.

20084800208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 20084800208 in words is "twenty billion, eighty-four million, eight hundred thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 277 404 554 808 1108 1111 1616 2216 2222 3047 4079 4432 4444 6094 8158 8888 12188 16316 17776 24376 27977 32632 44869 48752 55954 65264 89738 111908 179476 223816 307747 358952 411979 447632 615494 717904 823958 1129883 1230988 1647916 2259766 2461976 3295832 4519532 4531769 4923952 6591664 9039064 9063538 12428713 18078128 18127076 24857426 36254152 49714852 72508304 99429704 114118183 198859408 228236366 456472732 912945464 1255300013 1825890928 2510600026 5021200052 10042400104 20084800208