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669744447966 = 2321112232765779
BaseRepresentation
bin10011011111011111110…
…00010100000111011110
32101000201122100002212200
421233233320110013132
541433114034313331
61231402031512330
766246614610006
oct11575770240736
92330648302780
10669744447966
1123904530a640
12a99740886a6
134b20616a329
14245b6d77006
151264ccee5e6
hex9befe141de

669744447966 has 48 divisors (see below), whose sum is σ = 1584327288960. Its totient is φ = 202786842960.

The previous prime is 669744447947. The next prime is 669744448007.

669744447966 is a `hidden beast` number, since 6 + 6 + 97 + 4 + 4 + 4 + 479 + 66 = 666.

669744447966 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 669744447894 and 669744447903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140736 + ... + 1625043.

It is an arithmetic number, because the mean of its divisors is an integer number (33006818520).

Almost surely, 2669744447966 is an apocalyptic number.

669744447966 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

669744447966 is an abundant number, since it is smaller than the sum of its proper divisors (914582840994).

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

669744447966 is a wasteful number, since it uses less digits than its factorization.

669744447966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767021 (or 2767018 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 669744447966 in words is "six hundred sixty-nine billion, seven hundred forty-four million, four hundred forty-seven thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1223 2446 3669 7338 11007 13453 22014 26906 40359 80718 121077 242154 2765779 5531558 8297337 16594674 24892011 30423569 49784022 60847138 91270707 182541414 273812121 547624242 3382547717 6765095434 10147643151 20295286302 30442929453 37208024887 60885858906 74416049774 111624074661 223248149322 334872223983 669744447966