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66816061866 = 2333496415531
BaseRepresentation
bin111110001110100011…
…000011000110101010
320101110112012121212000
4332032203003012222
52043314402434431
650410032031430
74553523104121
oct761643030652
9211415177760
1066816061866
1126377a1a244
1210b48692576
1363ba9108a8
14333bc0cab8
151b10d369e6
hexf8e8c31aa

66816061866 has 64 divisors (see below), whose sum is σ = 149164848000. Its totient is φ = 22169548800.

The previous prime is 66816061859. The next prime is 66816061891.

66816061866 is a `hidden beast` number, since 6 + 6 + 8 + 16 + 0 + 618 + 6 + 6 = 666.

66816061866 is nontrivially palindromic in base 10.

66816061866 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×668160618662 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12077521 + ... + 12083051.

It is an arithmetic number, because the mean of its divisors is an integer number (2330700750).

Almost surely, 266816061866 is an apocalyptic number.

66816061866 is an abundant number, since it is smaller than the sum of its proper divisors (82348786134).

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

66816061866 is a wasteful number, since it uses less digits than its factorization.

66816061866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 66816061866 in words is "sixty-six billion, eight hundred sixteen million, sixty-one thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 349 641 698 1047 1282 1923 2094 3141 3846 5531 5769 6282 9423 11062 11538 16593 17307 18846 33186 34614 49779 99558 149337 223709 298674 447418 671127 1342254 1930319 2013381 3545371 3860638 4026762 5790957 6040143 7090742 10636113 11581914 12080286 17372871 21272226 31908339 34745742 52118613 63816678 95725017 104237226 191450034 1237334479 2474668958 3712003437 7424006874 11136010311 22272020622 33408030933 66816061866