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282055513056 = 2531716726197
BaseRepresentation
bin1000001101010111101…
…00011001001111100000
3222222000221012122022120
410012223310121033200
514110122202404211
6333324032304240
726243412206022
oct4065364311740
9888027178276
10282055513056
11a9689a906a9
12467b79a2080
13207a0266bb5
14d919c46012
15750c11dd06
hex41abd193e0

282055513056 has 144 divisors (see below), whose sum is σ = 788798089296. Its totient is φ = 87943942144.

The previous prime is 282055512997. The next prime is 282055513079. The reversal of 282055513056 is 650315550282.

It is a junction number, because it is equal to n+sod(n) for n = 282055512999 and 282055513017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45511750 + ... + 45517946.

It is an arithmetic number, because the mean of its divisors is an integer number (5477764509).

Almost surely, 2282055513056 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 282055513056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394399044648).

282055513056 is an abundant number, since it is smaller than the sum of its proper divisors (506742576240).

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

282055513056 is a wasteful number, since it uses less digits than its factorization.

282055513056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6561 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 282055513056 in words is "two hundred eighty-two billion, fifty-five million, five hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 167 204 272 334 408 501 544 668 816 1002 1336 1632 2004 2672 2839 4008 5344 5678 6197 8016 8517 11356 12394 16032 17034 18591 22712 24788 27889 34068 37182 45424 49576 55778 68136 74364 83667 90848 99152 105349 111556 136272 148728 167334 198304 210698 223112 272544 297456 316047 334668 421396 446224 474113 594912 632094 669336 842792 892448 948226 1034899 1264188 1338672 1422339 1685584 1896452 2069798 2528376 2677344 2844678 3104697 3371168 3792904 4139596 5056752 5689356 6209394 7585808 8279192 10113504 11378712 12418788 15171616 16558384 17593283 22757424 24837576 33116768 35186566 45514848 49675152 52779849 70373132 99350304 105559698 140746264 172828133 211119396 281492528 345656266 422238792 518484399 562985056 691312532 844477584 1036968798 1382625064 1688955168 2073937596 2765250128 2938078261 4147875192 5530500256 5876156522 8295750384 8814234783 11752313044 16591500768 17628469566 23504626088 35256939132 47009252176 70513878264 94018504352 141027756528 282055513056