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11113334666784 = 2532721126125909
BaseRepresentation
bin1010000110111000011001…
…0111010111011000100000
31110100102110101211021112200
42201232012113113120200
52424040102133314114
635345221230453200
72224624536022350
oct241560627273040
943312411737480
1011113334666784
1135a5158771589
1212b5a09364200
13627ca175046c
142a5c6159ab60
1514413b401409
hexa1b865d7620

11113334666784 has 144 divisors (see below), whose sum is σ = 36289516011840. Its totient is φ = 3160189831680.

The previous prime is 11113334666773. The next prime is 11113334666789. The reversal of 11113334666784 is 48766643331111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11113334666784.

It is not an unprimeable number, because it can be changed into a prime (11113334666789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12637579 + ... + 13488330.

It is an arithmetic number, because the mean of its divisors is an integer number (252010527860).

Almost surely, 211113334666784 is an apocalyptic number.

11113334666784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11113334666784 is an abundant number, since it is smaller than the sum of its proper divisors (25176181345056).

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

11113334666784 is a wasteful number, since it uses less digits than its factorization.

11113334666784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26126143 (or 26126132 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

Adding to 11113334666784 its reverse (48766643331111), we get a palindrome (59879977997895).

The spelling of 11113334666784 in words is "eleven trillion, one hundred thirteen billion, three hundred thirty-four million, six hundred sixty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 211 224 252 288 336 422 504 633 672 844 1008 1266 1477 1688 1899 2016 2532 2954 3376 3798 4431 5064 5908 6752 7596 8862 10128 11816 13293 15192 17724 20256 23632 26586 30384 35448 47264 53172 60768 70896 106344 141792 212688 425376 26125909 52251818 78377727 104503636 156755454 182881363 209007272 235133181 313510908 365762726 418014544 470266362 548644089 627021816 731525452 836029088 940532724 1097288178 1254043632 1463050904 1645932267 1881065448 2194576356 2508087264 2926101808 3291864534 3762130896 4389152712 5512566799 5852203616 6583729068 7524261792 8778305424 11025133598 13167458136 16537700397 17556610848 22050267196 26334916272 33075400794 38587967593 44100534392 49613101191 52669832544 66150801588 77175935186 88201068784 99226202382 115763902779 132301603176 154351870372 176402137568 198452404764 231527805558 264603206352 308703740744 347291708337 396904809528 463055611116 529206412704 617407481488 694583416674 793809619056 926111222232 1234814962976 1389166833348 1587619238112 1852222444464 2778333666696 3704444888928 5556667333392 11113334666784