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20442442218 = 23118910134457
BaseRepresentation
bin10011000010011101…
…101110100111101010
31221202200001122212120
4103002131232213222
5313331231122333
613220252252110
71322403614622
oct230235564752
957680048776
1020442442218
118740253450
123b66171036
131c0a259573
14dbcd77882
157e9a14db3
hex4c276e9ea

20442442218 has 64 divisors (see below), whose sum is σ = 45550719360. Its totient is φ = 6064256000.

The previous prime is 20442442177. The next prime is 20442442231. The reversal of 20442442218 is 81224424402.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 576046 + ... + 610502.

It is an arithmetic number, because the mean of its divisors is an integer number (711729990).

Almost surely, 220442442218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442442218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22775359680).

20442442218 is an abundant number, since it is smaller than the sum of its proper divisors (25108277142).

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

20442442218 is a wasteful number, since it uses less digits than its factorization.

20442442218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34663.

The product of its (nonzero) digits is 32768, while the sum is 33.

It can be divided in two parts, 204424 and 42218, that added together give a palindrome (246642).

The spelling of 20442442218 in words is "twenty billion, four hundred forty-two million, four hundred forty-two thousand, two hundred eighteen".

Divisors: 1 2 3 6 11 22 33 66 89 101 178 202 267 303 534 606 979 1111 1958 2222 2937 3333 5874 6666 8989 17978 26967 34457 53934 68914 98879 103371 197758 206742 296637 379027 593274 758054 1137081 2274162 3066673 3480157 6133346 6960314 9200019 10440471 18400038 20880942 33733403 38281727 67466806 76563454 101200209 114845181 202400418 229690362 309733973 619467946 929201919 1858403838 3407073703 6814147406 10221221109 20442442218