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667383383766 = 231110111869451
BaseRepresentation
bin10011011011000110010…
…01100100011011010110
32100210122002120121200110
421231203021210123112
541413300121240031
61230331450023450
766134245106631
oct11554311443326
92323562517613
10667383383766
11238043581110
12a9415417b86
134ac1ac64a18
1424431570c18
15125608b9c46
hex9b632646d6

667383383766 has 16 divisors (see below), whose sum is σ = 1456109201088. Its totient is φ = 202237389000.

The previous prime is 667383383753. The next prime is 667383383773.

667383383766 is nontrivially palindromic in base 10.

667383383766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66), and also a Moran number because the ratio is a prime number: 10111869451 = 667383383766 / (6 + 6 + 7 + 3 + 8 + 3 + 3 + 8 + 3 + 7 + 6 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 667383383697 and 667383383706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5055934660 + ... + 5055934791.

It is an arithmetic number, because the mean of its divisors is an integer number (91006825068).

Almost surely, 2667383383766 is an apocalyptic number.

667383383766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

667383383766 is an abundant number, since it is smaller than the sum of its proper divisors (788725817322).

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

667383383766 is a wasteful number, since it uses less digits than its factorization.

667383383766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111869467.

The product of its digits is 329204736, while the sum is 66.

The spelling of 667383383766 in words is "six hundred sixty-seven billion, three hundred eighty-three million, three hundred eighty-three thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 10111869451 20223738902 30335608353 60671216706 111230563961 222461127922 333691691883 667383383766