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28261814868 = 2233727967601
BaseRepresentation
bin11010010100100010…
…010001001001010100
32200221121120221122000
4122110202101021110
5430340011033433
620552220435300
72020232314500
oct322442211124
980847527560
1028261814868
1110a9306a8a1
1255889a8b30
1328852390a1
141521663300
15b06231113
hex694891254

28261814868 has 144 divisors (see below), whose sum is σ = 86314233600. Its totient is φ = 7972473600.

The previous prime is 28261814843. The next prime is 28261814881. The reversal of 28261814868 is 86841816282.

28261814868 is a `hidden beast` number, since 2 + 8 + 2 + 618 + 14 + 8 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384268 + ... + 451868.

It is an arithmetic number, because the mean of its divisors is an integer number (599404400).

Almost surely, 228261814868 is an apocalyptic number.

28261814868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28261814868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43157116800).

28261814868 is an abundant number, since it is smaller than the sum of its proper divisors (58052418732).

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

28261814868 is a wasteful number, since it uses less digits than its factorization.

28261814868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67707 (or 67692 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 28261814868 in words is "twenty-eight billion, two hundred sixty-one million, eight hundred fourteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 79 84 98 108 126 147 158 189 196 237 252 294 316 378 441 474 553 588 711 756 882 948 1106 1323 1422 1659 1764 2133 2212 2646 2844 3318 3871 4266 4977 5292 6636 7742 8532 9954 11613 14931 15484 19908 23226 29862 34839 46452 59724 67601 69678 104517 135202 139356 202803 209034 270404 405606 418068 473207 608409 811212 946414 1216818 1419621 1825227 1892828 2433636 2839242 3312449 3650454 4258863 5340479 5678484 6624898 7300908 8517726 9937347 10680958 12776589 13249796 16021437 17035452 19874694 21361916 25553178 29812041 32042874 37383353 39749388 48064311 51106356 59624082 64085748 74766706 89436123 96128622 112150059 119248164 144192933 149533412 178872246 192257244 224300118 261683471 288385866 336450177 357744492 448600236 523366942 576771732 672900354 785050413 1009350531 1046733884 1345800708 1570100826 2018701062 2355151239 3140201652 4037402124 4710302478 7065453717 9420604956 14130907434 28261814868