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216405020741832 = 233313174533441563
BaseRepresentation
bin110001001101000110111000…
…011000111001000011001000
31001101020010011222101100022000
4301031012320120321003020
5211331034440302214312
62044131032153431000
763403514103000516
oct6115067030710310
91041203158340260
10216405020741832
1162a539435a582a
12203308ab70b460
139399ba1327080
143b620b78454b6
151a042d0515adc
hexc4d1b86390c8

216405020741832 has 128 divisors (see below), whose sum is σ = 647370621878400. Its totient is φ = 66585627922176.

The previous prime is 216405020741827. The next prime is 216405020741857. The reversal of 216405020741832 is 238147020504612.

216405020741832 is a `hidden beast` number, since 2 + 1 + 6 + 40 + 502 + 0 + 74 + 1 + 8 + 32 = 666.

It is a super-2 number, since 2×2164050207418322 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489867883 + ... + 490309445.

It is an arithmetic number, because the mean of its divisors is an integer number (5057582983425).

Almost surely, 2216405020741832 is an apocalyptic number.

It is an amenable number.

216405020741832 is an abundant number, since it is smaller than the sum of its proper divisors (430965601136568).

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

216405020741832 is a wasteful number, since it uses less digits than its factorization.

216405020741832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616124 (or 616114 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 216405020741832 in words is "two hundred sixteen trillion, four hundred five billion, twenty million, seven hundred forty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 174533 349066 441563 523599 698132 883126 1047198 1324689 1396264 1570797 1766252 2094396 2268929 2649378 3141594 3532504 3974067 4188792 4537858 4712391 5298756 5740319 6283188 6806787 7948134 9075716 9424782 10597512 11480638 11922201 12566376 13613574 15896268 17220957 18151432 18849564 20420361 22961276 23844402 27227148 31792536 34441914 37699128 40840722 45922552 47688804 51662871 54454296 61261083 68883828 81681444 95377608 103325742 122522166 137767656 154988613 163362888 206651484 245044332 309977226 413302968 490088664 619954452 1239908904 77067315079 154134630158 231201945237 308269260316 462403890474 616538520632 693605835711 924807780948 1001875096027 1387211671422 1849615561896 2003750192054 2080817507133 2774423342844 3005625288081 4007500384108 4161635014266 5548846685688 6011250576162 8015000768216 8323270028532 9016875864243 12022501152324 16646540057064 18033751728486 24045002304648 27050627592729 36067503456972 54101255185458 72135006913944 108202510370916 216405020741832