Search a number
-
+
18113552857728 = 273343121888141
BaseRepresentation
bin1000001111001011000111…
…11000100011101010000000
32101010122020122100111122000
410013211203320203222000
54333233024012421403
6102305130140544000
73546442503623016
oct407454370435200
971118218314560
1018113552857728
115853a07406a19
122046640252000
13a15140331c53
144689b478c8b6
15216295d4e7a3
hex107963e23a80

18113552857728 has 128 divisors (see below), whose sum is σ = 54703398129600. Its totient is φ = 5897435765760.

The previous prime is 18113552857657. The next prime is 18113552857733. The reversal of 18113552857728 is 82775825531181.

18113552857728 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 3 + 5 + 52 + 8 + 577 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60795463 + ... + 61092678.

Almost surely, 218113552857728 is an apocalyptic number.

18113552857728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18113552857728 is an abundant number, since it is smaller than the sum of its proper divisors (36589845271872).

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

18113552857728 is a wasteful number, since it uses less digits than its factorization.

18113552857728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121888207 (or 121888189 counting only the distinct ones).

The product of its digits is 37632000, while the sum is 63.

The spelling of 18113552857728 in words is "eighteen trillion, one hundred thirteen billion, five hundred fifty-two million, eight hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 258 288 344 384 387 432 516 576 688 774 864 1032 1152 1161 1376 1548 1728 2064 2322 2752 3096 3456 4128 4644 5504 6192 8256 9288 12384 16512 18576 24768 37152 49536 74304 148608 121888141 243776282 365664423 487552564 731328846 975105128 1096993269 1462657692 1950210256 2193986538 2925315384 3290979807 3900420512 4387973076 5241190063 5850630768 6581959614 7800841024 8775946152 10482380126 11701261536 13163919228 15601682048 15723570189 17551892304 20964760252 23402523072 26327838456 31447140378 35103784608 41929520504 46805046144 47170710567 52655676912 62894280756 70207569216 83859041008 94341421134 105311353824 125788561512 140415138432 141512131701 167718082016 188682842268 210622707648 251577123024 283024263402 335436164032 377365684536 421245415296 503154246048 566048526804 670872328064 754731369072 1006308492096 1132097053608 1509462738144 2012616984192 2264194107216 3018925476288 4528388214432 6037850952576 9056776428864 18113552857728