Search a number
-
+
16683474492324 = 223223103221388397
BaseRepresentation
bin1111001011000110110010…
…0100100001101110100100
32012001220222000121102122200
43302301230210201232210
54141320223432223244
655252140554254500
73341225023236363
oct362615444415644
965056860542580
1016683474492324
115352470460602
121a55451a27430
13940325055933
144196ad5797da
151dde97286669
hexf2c6c921ba4

16683474492324 has 144 divisors (see below), whose sum is σ = 44453507035392. Its totient is φ = 5265284403456.

The previous prime is 16683474492271. The next prime is 16683474492409. The reversal of 16683474492324 is 42329447438661.

16683474492324 is a `hidden beast` number, since 1 + 6 + 6 + 83 + 47 + 4 + 492 + 3 + 24 = 666.

It is a super-2 number, since 2×166834744923242 (a number of 27 digits) contains 22 as substring.

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, 188689294 + ... + 188777690.

It is an arithmetic number, because the mean of its divisors is an integer number (308704909968).

Almost surely, 216683474492324 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 16683474492324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226753517696).

16683474492324 is an abundant number, since it is smaller than the sum of its proper divisors (27770032543068).

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

16683474492324 is a wasteful number, since it uses less digits than its factorization.

16683474492324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90746 (or 90741 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 16683474492324 in words is "sixteen trillion, six hundred eighty-three billion, four hundred seventy-four million, four hundred ninety-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 103 138 206 207 276 309 412 414 618 828 927 1236 1854 2213 2369 3708 4426 4738 6639 7107 8852 9476 13278 14214 19917 21321 26556 28428 39834 42642 50899 79668 85284 88397 101798 152697 176794 203596 227939 265191 305394 353588 455878 458091 530382 610788 683817 795573 911756 916182 1060764 1367634 1591146 1832364 2033131 2051451 2735268 3182292 4066262 4102902 5242597 6099393 8132524 8205804 9104891 10485194 12198786 15727791 18209782 18298179 20970388 24397572 27314673 31455582 36419564 36596358 47183373 54629346 62911164 73192716 81944019 94366746 109258692 163888038 188733492 195622561 209412493 327776076 391245122 418824986 586867683 628237479 782490244 837649972 1173735366 1256474958 1760603049 1884712437 2347470732 2512949916 3521206098 3769424874 4499318903 7042412196 7538849748 8998637806 13497956709 17997275612 20149123783 26995913418 40298247566 40493870127 53991826836 60447371349 80596495132 80987740254 120894742698 161975480508 181342114047 241789485396 362684228094 463429847009 725368456188 926859694018 1390289541027 1853719388036 2780579082054 4170868623081 5561158164108 8341737246162 16683474492324