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22559428872 = 23323125712
BaseRepresentation
bin10101000000101001…
…011001000100001000
32011020012112201121200
4111000221121010020
5332200203210442
614210314504200
71426020660441
oct250051310410
964205481550
1022559428872
1196272338a2
124457135060
132186a140a6
1411401a62c8
158c07d534c
hex540a59108

22559428872 has 108 divisors (see below), whose sum is σ = 63243708255. Its totient is φ = 7264490400.

The previous prime is 22559428823. The next prime is 22559428877. The reversal of 22559428872 is 27882495522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22559428872 is a `hidden beast` number, since 2 + 2 + 559 + 4 + 2 + 8 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11279714436 + 11279714436 = 106206^2 + 106206^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106206.

It is not an unprimeable number, because it can be changed into a prime (22559428877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39508347 + ... + 39508917.

Almost surely, 222559428872 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 22559428872

22559428872 is an abundant number, since it is smaller than the sum of its proper divisors (40684279383).

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

22559428872 is an equidigital number, since it uses as much as digits as its factorization.

22559428872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 607 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 22559428872 in words is "twenty-two billion, five hundred fifty-nine million, four hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 571 744 961 1116 1142 1713 1922 2232 2284 2883 3426 3844 4568 5139 5766 6852 7688 8649 10278 11532 13704 17298 17701 20556 23064 34596 35402 41112 53103 69192 70804 106206 141608 159309 212412 318618 326041 424824 548731 637236 652082 978123 1097462 1274472 1304164 1646193 1956246 2194924 2608328 2934369 3292386 3912492 4389848 4938579 5868738 6584772 7824984 9877158 10107271 11737476 13169544 19754316 20214542 23474952 30321813 39508632 40429084 60643626 80858168 90965439 121287252 181930878 242574504 313325401 363861756 626650802 727723512 939976203 1253301604 1879952406 2506603208 2819928609 3759904812 5639857218 7519809624 11279714436 22559428872