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28205433450282 = 231129109135196157
BaseRepresentation
bin1100110100111000101101…
…10101110110111100101010
310200212102011011010110120210
412122130112311312330222
512144104211430402112
6135553221450001550
75640526635403104
oct632342665667452
9120772134113523
1028205433450282
118a94947961050
1231b649a7162b6
1312979b7aa97aa
146d7216470574
1533da4c296b3c
hex19a716d76f2a

28205433450282 has 64 divisors (see below), whose sum is σ = 64245214281600. Its totient is φ = 8176663514880.

The previous prime is 28205433450221. The next prime is 28205433450323.

28205433450282 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×282054334502822 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67389453 + ... + 67806704.

It is an arithmetic number, because the mean of its divisors is an integer number (1003831473150).

Almost surely, 228205433450282 is an apocalyptic number.

28205433450282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

28205433450282 is an abundant number, since it is smaller than the sum of its proper divisors (36039780831318).

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

28205433450282 is a wasteful number, since it uses less digits than its factorization.

28205433450282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135196311.

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 28205433450282 in words is "twenty-eight trillion, two hundred five billion, four hundred thirty-three million, four hundred fifty thousand, two hundred eighty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 109 174 218 319 327 638 654 957 1199 1914 2398 3161 3597 6322 7194 9483 18966 34771 69542 104313 208626 135196157 270392314 405588471 811176942 1487157727 2974315454 3920688553 4461473181 7841377106 8922946362 11762065659 14736381113 23524131318 29472762226 43127574083 44209143339 86255148166 88418286678 129382722249 162100192243 258765444498 324200384486 427355052277 486300576729 854710104554 972601153458 1282065156831 2564130313662 4700905575047 9401811150094 14102716725141 28205433450282