Search a number
-
+
11116012160046 = 23174127785911171
BaseRepresentation
bin1010000111000010010111…
…1101001100010000101110
31110100200101000000000210210
42201300211331030100232
52424111043103110141
635350343034443250
72225051100236223
oct241604575142056
943320330000723
1011116012160046
1135a6302085932
1212b6435b93526
1362830a3867c1
142a603701194a
151442464dc916
hexa1c25f4c42e

11116012160046 has 128 divisors (see below), whose sum is σ = 24231327966720. Its totient is φ = 3385786060800.

The previous prime is 11116012160021. The next prime is 11116012160083. The reversal of 11116012160046 is 64006121061111.

It is a junction number, because it is equal to n+sod(n) for n = 11116012159995 and 11116012160022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995072041 + ... + 995083211.

It is an arithmetic number, because the mean of its divisors is an integer number (189307249740).

Almost surely, 211116012160046 is an apocalyptic number.

11116012160046 is an abundant number, since it is smaller than the sum of its proper divisors (13115315806674).

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

11116012160046 is a wasteful number, since it uses less digits than its factorization.

11116012160046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12370.

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 11116012160046 in words is "eleven trillion, one hundred sixteen billion, twelve million, one hundred sixty thousand, forty-six".

Divisors: 1 2 3 6 17 34 41 51 82 102 123 246 277 554 697 831 859 1394 1662 1718 2091 2577 4182 4709 5154 9418 11171 11357 14127 14603 22342 22714 28254 29206 33513 34071 35219 43809 67026 68142 70438 87618 105657 189907 193069 211314 237943 379814 386138 458011 475886 569721 579207 598723 713829 916022 1139442 1158414 1197446 1374033 1427658 1796169 2748066 3094367 3592338 4045031 6188734 7786187 8090062 9283101 9595889 9755663 12135093 15572374 18566202 19191778 19511326 23358561 24270186 28787667 29266989 46717122 52604239 57575334 58533978 105208478 126869047 157812717 163130113 165846271 253738094 315625434 326260226 331692542 380607141 393431449 489390339 497538813 761214282 786862898 978780678 995077626 1180294347 2156773799 2360588694 2658061253 4313547598 5316122506 6470321397 6688334633 7974183759 12940642794 13376669266 15948367518 20065003899 40130007798 45187041301 90374082602 108980511373 135561123903 217961022746 271122247806 326941534119 653883068238 1852668693341 3705337386682 5558006080023 11116012160046