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12288844966 = 2194173167647
BaseRepresentation
bin10110111000111100…
…01110010010100110
31011201102122000011011
423130132032102212
5200131421014331
65351224332434
7613346313226
oct133436162246
934642560134
1012288844966
115236807122
12246b61411a
13120ac580c8
1484812a086
154bdcc93b1
hex2dc78e4a6

12288844966 has 64 divisors (see below), whose sum is σ = 20300958720. Its totient is φ = 5559114240.

The previous prime is 12288844957. The next prime is 12288844991. The reversal of 12288844966 is 66944888221.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 12288844966.

It is a congruent number.

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, 18993255 + ... + 18993901.

It is an arithmetic number, because the mean of its divisors is an integer number (317202480).

Almost surely, 212288844966 is an apocalyptic number.

12288844966 is a deficient number, since it is larger than the sum of its proper divisors (8012113754).

12288844966 is a wasteful number, since it uses less digits than its factorization.

12288844966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949.

The product of its digits is 10616832, while the sum is 58.

The spelling of 12288844966 in words is "twelve billion, two hundred eighty-eight million, eight hundred forty-four thousand, nine hundred sixty-six".

Divisors: 1 2 19 38 41 73 82 146 167 334 647 779 1294 1387 1558 2774 2993 3173 5986 6346 6847 12191 12293 13694 24382 24586 26527 47231 53054 56867 94462 108049 113734 130093 216098 231629 260186 463258 499831 504013 897389 999662 1008026 1794778 1936471 2052931 3872942 4105862 4430009 7887577 8860018 9496789 15775154 18993578 36792949 73585898 84170171 149863963 168340342 299727926 323390657 646781314 6144422483 12288844966