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282133248417364 = 2219232271324153699
BaseRepresentation
bin100000000100110010100010…
…0000011010001111001010100
31100222221200020011201212200111
41000021211010003101321110
5243434432343043323424
62440014120335052404
7113266311623004151
oct10011450403217124
91328850204655614
10282133248417364
1181995047595453
1227787392071104
13c15708854b726
144d95471b23228
152293deeacd194
hex10099440d1e54

282133248417364 has 96 divisors (see below), whose sum is σ = 544755964032000. Its totient is φ = 127256424387840.

The previous prime is 282133248417301. The next prime is 282133248417403. The reversal of 282133248417364 is 463714842331282.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 282133248417299 and 282133248417308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5253948987 + ... + 5254002685.

It is an arithmetic number, because the mean of its divisors is an integer number (5674541292000).

Almost surely, 2282133248417364 is an apocalyptic number.

It is an amenable number.

282133248417364 is a deficient number, since it is larger than the sum of its proper divisors (262622715614636).

282133248417364 is a wasteful number, since it uses less digits than its factorization.

282133248417364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67213 (or 67211 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 58.

The spelling of 282133248417364 in words is "two hundred eighty-two trillion, one hundred thirty-three billion, two hundred forty-eight million, four hundred seventeen thousand, three hundred sixty-four".

Divisors: 1 2 4 19 23 38 46 76 92 227 437 454 874 908 1748 4313 5221 8626 10442 13241 17252 20884 26482 52964 53699 99199 107398 198398 214796 251579 304543 396796 503158 609086 1006316 1020281 1218172 1235077 2040562 2470154 3005707 4081124 4940308 5786317 6011414 11572634 12022828 12189673 23145268 23466463 24379346 46932926 48758692 57108433 69131261 93865852 114216866 138262522 228433732 231603787 276525044 280362479 463207574 560724958 711028459 926415148 1121449916 1313493959 1422056918 2626987918 2844113836 5253975836 5326887101 10653774202 13509540721 16353654557 21307548404 27019081442 32707309114 54038162884 65414618228 161403460193 310719436583 322806920386 621438873166 645613840772 1242877746332 3066665743667 3712279584439 6133331487334 7424559168878 12266662974668 14849118337756 70533312104341 141066624208682 282133248417364