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286005406812 = 223195921732083
BaseRepresentation
bin1000010100101110100…
…00000010110001011100
31000100020012122000220220
410022113100002301130
514141214341004222
6335220012241340
726443323563166
oct4122720026134
91010205560826
10286005406812
11100326661304
124751a770250
1320c7c693a38
14dbb2675936
15768dc97b5c
hex4297402c5c

286005406812 has 144 divisors (see below), whose sum is σ = 719053023360. Its totient is φ = 88231095936.

The previous prime is 286005406811. The next prime is 286005406829. The reversal of 286005406812 is 218604500682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286005406811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137303523 + ... + 137305605.

Almost surely, 2286005406812 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 286005406812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359526511680).

286005406812 is an abundant number, since it is smaller than the sum of its proper divisors (433047616548).

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

286005406812 is a wasteful number, since it uses less digits than its factorization.

286005406812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 286005406812 in words is "two hundred eighty-six billion, five million, four hundred six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 173 177 228 236 346 354 519 692 708 1038 1121 2076 2083 2242 3287 3363 3481 4166 4484 6249 6574 6726 6962 8332 9861 10207 10443 12498 13148 13452 13924 19722 20414 20886 24996 30621 39444 39577 40828 41772 61242 66139 79154 118731 122484 122897 132278 158308 193933 198417 237462 245794 264556 360359 368691 387866 396834 474924 491588 581799 602213 720718 737382 775732 793668 1081077 1163598 1204426 1441436 1474764 1806639 2162154 2327196 2335043 2408852 3613278 4324308 4670086 6846821 7005129 7226556 7250923 9340172 11442047 13693642 14010258 14501846 20540463 21261181 21752769 22884094 27387284 28020516 29003692 34326141 41080926 42522362 43505538 45768188 63783543 68652282 82161852 85044724 87011076 127567086 137304564 137767537 255134172 275535074 403962439 413302611 551070148 807924878 826605222 1211887317 1254409679 1615849756 1653210444 2423774634 2508819358 3763229037 4847549268 5017638716 7526458074 15052916148 23833783901 47667567802 71501351703 95335135604 143002703406 286005406812