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218163993891300 = 223352157315136449
BaseRepresentation
bin110001100110101101000011…
…010110111101000111100100
31001121110021101211200120011000
4301212231003112331013210
5212043344324414010200
62051555053304513300
763644554101036462
oct6146550326750744
91047407354616130
10218163993891300
1163571915034376
122057578817b830
139496a1283b252
143bc329d509832
151a34e2d350300
hexc66b435bd1e4

218163993891300 has 144 divisors (see below), whose sum is σ = 701401560552000. Its totient is φ = 58173355468800.

The previous prime is 218163993891289. The next prime is 218163993891307. The reversal of 218163993891300 is 3198399361812.

218163993891300 is a `hidden beast` number, since 2 + 1 + 8 + 163 + 9 + 93 + 89 + 1 + 300 = 666.

It is not an unprimeable number, because it can be changed into a prime (218163993891307) 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, 39905476 + ... + 45041924.

It is an arithmetic number, because the mean of its divisors is an integer number (4870844170500).

Almost surely, 2218163993891300 is an apocalyptic number.

218163993891300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218163993891300 is an abundant number, since it is smaller than the sum of its proper divisors (483237566660700).

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

218163993891300 is a wasteful number, since it uses less digits than its factorization.

218163993891300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152203 (or 5152190 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 218163993891300 in words is "two hundred eighteen trillion, one hundred sixty-three billion, nine hundred ninety-three million, eight hundred ninety-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 15731 31462 47193 62924 78655 94386 141579 157310 188772 235965 283158 314620 393275 424737 471930 566316 707895 786550 849474 943860 1179825 1415790 1573100 1698948 2123685 2359650 2831580 3539475 4247370 4719300 5136449 7078950 8494740 10272898 10618425 14157900 15409347 20545796 21236850 25682245 30818694 42473700 46228041 51364490 61637388 77046735 92456082 102728980 128411225 138684123 154093470 184912164 231140205 256822450 277368246 308186940 385233675 462280410 513644900 554736492 693420615 770467350 924560820 1155701025 1386841230 1540934700 2311402050 2773682460 3467103075 4622804100 6934206150 13868412300 80801479219 161602958438 242404437657 323205916876 404007396095 484808875314 727213312971 808014792190 969617750628 1212022188285 1454426625942 1616029584380 2020036980475 2181639938913 2424044376570 2908853251884 3636066564855 4040073960950 4363279877826 4848088753140 6060110941425 7272133129710 8080147921900 8726559755652 10908199694565 12120221882850 14544266259420 18180332824275 21816399389130 24240443765700 36360665648550 43632798778260 54540998472825 72721331297100 109081996945650 218163993891300