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206060406331140 = 223251788376262743
BaseRepresentation
bin101110110110100100101101…
…010100100101011100000100
31000000121011221000100011202100
4232312210231110211130010
5204002043203010044030
62010130502133512100
761255241651214414
oct5666445524453404
91000534830304670
10206060406331140
115a725800432419
121b13ba791a2630
138ac954a2c608a
1438c553c238644
1518c518628e360
hexbb692d525704

206060406331140 has 144 divisors (see below), whose sum is σ = 662567059260288. Its totient is φ = 51658551124992.

The previous prime is 206060406331103. The next prime is 206060406331271. The reversal of 206060406331140 is 41133604060602.

206060406331140 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 6 + 0 + 4 + 0 + 633 + 1 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206060406331095 and 206060406331104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35429392 + ... + 40833351.

It is an arithmetic number, because the mean of its divisors is an integer number (4601160133752).

Almost surely, 2206060406331140 is an apocalyptic number.

206060406331140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206060406331140 is an abundant number, since it is smaller than the sum of its proper divisors (456506652929148).

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

206060406331140 is a wasteful number, since it uses less digits than its factorization.

206060406331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76263658 (or 76263653 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 206060406331140 in words is "two hundred six trillion, sixty billion, four hundred six million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 883 1020 1530 1766 2649 3060 3532 4415 5298 7947 8830 10596 13245 15011 15894 17660 26490 30022 31788 39735 45033 52980 60044 75055 79470 90066 135099 150110 158940 180132 225165 270198 300220 450330 540396 675495 900660 1350990 2701980 76262743 152525486 228788229 305050972 381313715 457576458 686364687 762627430 915152916 1143941145 1296466631 1372729374 1525254860 2287882290 2592933262 2745458748 3431823435 3889399893 4575764580 5185866524 6482333155 6863646870 7778799786 11668199679 12964666310 13727293740 15557599572 19446999465 23336399358 25929332620 38893998930 46672798716 58340998395 67340002069 77787997860 116681996790 134680004138 202020006207 233363993580 269360008276 336700010345 404040012414 606060018621 673400020690 808080024828 1010100031035 1144780035173 1212120037242 1346800041380 2020200062070 2289560070346 2424240074484 3030300093105 3434340105519 4040400124140 4579120140692 5723900175865 6060600186210 6868680211038 10303020316557 11447800351730 12121200372420 13737360422076 17171700527595 20606040633114 22895600703460 34343401055190 41212081266228 51515101582785 68686802110380 103030203165570 206060406331140