Search a number
-
+
6681854581866 = 2325930735395791
BaseRepresentation
bin110000100111011110110…
…0100011001110001101010
3212122210000221020012102200
41201032331210121301222
51333433414233104431
622113333541041030
71256514404555052
oct141167544316152
925583027205380
106681854581866
112146838796912
128baba36b6176
13396133412c19
14191591252562
15b8c2500eee6
hex613bd919c6a

6681854581866 has 96 divisors (see below), whose sum is σ = 14777412249600. Its totient is φ = 2181408809760.

The previous prime is 6681854581793. The next prime is 6681854581867.

6681854581866 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 8 + 545 + 8 + 18 + 66 = 666.

6681854581866 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6681854581794 and 6681854581803.

It is not an unprimeable number, because it can be changed into a prime (6681854581867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153831431 + ... + 1153837221.

It is an arithmetic number, because the mean of its divisors is an integer number (153931377600).

Almost surely, 26681854581866 is an apocalyptic number.

6681854581866 is an abundant number, since it is smaller than the sum of its proper divisors (8095557667734).

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

6681854581866 is a wasteful number, since it uses less digits than its factorization.

6681854581866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704 (or 9701 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 72.

The spelling of 6681854581866 in words is "six trillion, six hundred eighty-one billion, eight hundred fifty-four million, five hundred eighty-one thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 59 118 177 307 354 531 614 921 1062 1842 2763 3539 5526 5791 7078 10617 11582 17373 18113 21234 31851 34746 36226 52119 54339 63702 104238 108678 163017 208801 326034 341669 417602 626403 683338 1025007 1086473 1252806 1777837 1879209 2050014 2172946 3075021 3259419 3555674 3758418 5333511 6150042 6518838 9778257 10667022 16000533 19556514 20494349 32001066 40988698 61483047 64101907 104892383 122966094 128203814 184449141 192305721 209784766 314677149 368898282 384611442 576917163 629354298 944031447 1153834326 1209166591 1888062894 2418333182 3627499773 6291765143 7254999546 10882499319 12583530286 18875295429 21764998638 37750590858 56625886287 113251772574 371214143437 742428286874 1113642430311 2227284860622 3340927290933 6681854581866