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204442044020 = 22519432290971
BaseRepresentation
bin1011111001100110110…
…0100000011001110100
3201112200220202220100022
42332121230200121310
511322144130402040
6233530330304312
720525156462444
oct2763154403164
9645626686308
10204442044020
1179781227665
1233757288098
13163816b31a6
149c76022124
1554b84156b5
hex2f99b20674

204442044020 has 72 divisors (see below), whose sum is σ = 462680396640. Its totient is φ = 75670822080.

The previous prime is 204442044011. The next prime is 204442044071. The reversal of 204442044020 is 20440244402.

204442044020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557135 + ... + 848105.

It is an arithmetic number, because the mean of its divisors is an integer number (6426116620).

Almost surely, 2204442044020 is an apocalyptic number.

204442044020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204442044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231340198320).

204442044020 is an abundant number, since it is smaller than the sum of its proper divisors (258238352620).

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

204442044020 is a wasteful number, since it uses less digits than its factorization.

204442044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291085 (or 291040 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 204442044020 its reverse (20440244402), we get a palindrome (224882288422).

The spelling of 204442044020 in words is "two hundred four billion, four hundred forty-two million, forty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1634 1849 3268 3698 4085 7396 8170 9245 16340 18490 35131 36980 70262 140524 175655 290971 351310 581942 702620 1163884 1454855 2909710 5528449 5819420 11056898 12511753 22113796 25023506 27642245 50047012 55284490 62558765 110568980 125117530 237723307 250235060 475446614 538005379 950893228 1076010758 1188616535 2152021516 2377233070 2690026895 4754466140 5380053790 10222102201 10760107580 20444204402 40888408804 51110511005 102221022010 204442044020