Search a number
-
+
198174793807980 = 2232511181552973921
BaseRepresentation
bin101101000011110100101010…
…001100000011100001101100
3221222200022210010011200000100
4231003310222030003201230
5201433343434203323410
61541252124330231100
756512441063545243
oct5503645214034154
9858608703150010
10198174793807980
1158165504775610
121a287729585490
138676a58b98972
1436d19d575795a
1517d9eab6d48c0
hexb43d2a30386c

198174793807980 has 144 divisors (see below), whose sum is σ = 659401494923808. Its totient is φ = 47776946688000.

The previous prime is 198174793807979. The next prime is 198174793807997. The reversal of 198174793807980 is 89708397471891.

198174793807980 is a `hidden beast` number, since 1 + 9 + 81 + 7 + 4 + 79 + 380 + 7 + 98 + 0 = 666.

It is a super-2 number, since 2×1981747938079802 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 198174793807980.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276128581 + ... + 276845340.

It is an arithmetic number, because the mean of its divisors is an integer number (4579177048082).

Almost surely, 2198174793807980 is an apocalyptic number.

198174793807980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198174793807980 is an abundant number, since it is smaller than the sum of its proper divisors (461226701115828).

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

198174793807980 is a wasteful number, since it uses less digits than its factorization.

198174793807980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552974128 (or 552974123 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 81.

The spelling of 198174793807980 in words is "one hundred ninety-eight trillion, one hundred seventy-four billion, seven hundred ninety-three million, eight hundred seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 181 198 220 330 362 396 495 543 660 724 905 990 1086 1629 1810 1980 1991 2172 2715 3258 3620 3982 5430 5973 6516 7964 8145 9955 10860 11946 16290 17919 19910 23892 29865 32580 35838 39820 59730 71676 89595 119460 179190 358380 552973921 1105947842 1658921763 2211895684 2764869605 3317843526 4976765289 5529739210 6082713131 6635687052 8294608815 9953530578 11059478420 12165426262 16589217630 18248139393 19907061156 24330852524 24883826445 30413565655 33178435260 36496278786 49767652890 54744418179 60827131310 72992557572 91240696965 99535305780 100088279701 109488836358 121654262620 182481393930 200176559402 218977672716 273722090895 300264839103 364962787860 400353118804 500441398505 547444181790 600529678206 900794517309 1000882797010 1094888363580 1100971076711 1201059356412 1501324195515 1801589034618 2001765594020 2201942153422 3002648391030 3302913230133 3603178069236 4403884306844 4503972586545 5504855383555 6005296782060 6605826460266 9007945173090 9908739690399 11009710767110 13211652920532 16514566150665 18015890346180 19817479380798 22019421534220 33029132301330 39634958761596 49543698451995 66058264602660 99087396903990 198174793807980