Search a number
-
+
6688880888866 = 21121726331319751
BaseRepresentation
bin110000101010110000001…
…0111101000110000100010
3212200110011121110120122021
41201111200113220300202
51334042312001420431
622120455055132054
71260153463312111
oct141254027506042
925613147416567
106688880888866
112149813979300
1290042481402a
133969b2cc9c27
14191a5a499c78
15b8ed6cc3b11
hex615605e8c22

6688880888866 has 96 divisors (see below), whose sum is σ = 11759532390144. Its totient is φ = 2841421440000.

The previous prime is 6688880888863. The next prime is 6688880888873.

It is a happy number.

6688880888866 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×66888808888662 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6688880888861) 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, 338650491 + ... + 338670241.

It is an arithmetic number, because the mean of its divisors is an integer number (122495129064).

Almost surely, 26688880888866 is an apocalyptic number.

6688880888866 is a deficient number, since it is larger than the sum of its proper divisors (5070651501278).

6688880888866 is a wasteful number, since it uses less digits than its factorization.

6688880888866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20368 (or 20357 counting only the distinct ones).

The product of its (nonzero) digits is 21743271936, while the sum is 88.

The spelling of 6688880888866 in words is "six trillion, six hundred eighty-eight billion, eight hundred eighty million, eight hundred eighty-eight thousand, eight hundred sixty-six".

Divisors: 1 2 11 17 22 34 121 187 242 263 313 374 526 626 2057 2893 3443 4114 4471 5321 5786 6886 8942 10642 19751 31823 37873 39502 49181 58531 63646 75746 82319 98362 117062 164638 217261 335767 434522 540991 643841 671534 905509 1081982 1287682 1399423 1811018 2389871 2798846 3693437 4779742 5194513 6182063 7386874 9960599 10389026 12364126 15393653 19921198 30787306 40627807 57139643 68002693 81255614 88306721 105095071 114279286 136005386 169330183 176613442 210190142 338660366 628536073 748029623 971373931 1156045781 1257072146 1496059246 1625882569 1942747862 2312091562 3251765138 10685113241 12716503591 17884708259 21370226482 25433007182 27640003673 35769416518 55280007346 196731790849 304040040403 393463581698 608080080806 3344440444433 6688880888866