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13663185228 = 223271119259421
BaseRepresentation
bin11001011100110001…
…11010100101001100
31022021012200201120100
430232120322211030
5210440233411403
610135441251100
7662405105160
oct145630724514
938235621510
1013663185228
11588156a320
122793933a90
1313998c12b4
1493887cca0
1554e7a12a3
hex32e63a94c

13663185228 has 144 divisors (see below), whose sum is σ = 45326211840. Its totient is φ = 3362083200.

The previous prime is 13663185227. The next prime is 13663185253. The reversal of 13663185228 is 82258136631.

13663185228 is a `hidden beast` number, since 1 + 3 + 6 + 631 + 8 + 5 + 2 + 2 + 8 = 666.

13663185228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13663185227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77043 + ... + 182378.

It is an arithmetic number, because the mean of its divisors is an integer number (314765360).

Almost surely, 213663185228 is an apocalyptic number.

13663185228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13663185228 is an abundant number, since it is smaller than the sum of its proper divisors (31663026612).

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

13663185228 is a wasteful number, since it uses less digits than its factorization.

13663185228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259468 (or 259463 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

It can be divided in two parts, 13663 and 185228, that added together give a palindrome (198891).

The spelling of 13663185228 in words is "thirteen billion, six hundred sixty-three million, one hundred eighty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1197 1254 1386 1463 1596 1881 2394 2508 2772 2926 3762 4389 4788 5852 7524 8778 13167 17556 26334 52668 259421 518842 778263 1037684 1556526 1815947 2334789 2853631 3113052 3631894 4669578 4928999 5447841 5707262 7263788 8560893 9339156 9857998 10895682 11414524 14786997 16343523 17121786 19715996 19975417 21791364 25682679 29573994 32687046 34243572 34502993 39950834 44360991 51365358 54218989 59147988 59926251 65374092 69005986 79901668 88721982 102730716 103508979 108437978 119852502 138011972 162656967 177443964 179778753 207017958 216875956 239705004 310526937 325313934 359557506 379532923 414035916 487970901 621053874 650627868 719115012 759065846 975941802 1138598769 1242107748 1518131692 1951883604 2277197538 3415796307 4554395076 6831592614 13663185228