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12805440280866 = 233614159934721
BaseRepresentation
bin1011101001010111111110…
…1110000001100100100010
31200100012002011001202011000
42322111333232001210202
53134301020202441431
643122423230332430
72461106514311502
oct272257756014442
950305064052130
1012805440280866
114097836224092
12152994405a116
1371b7177a0a5c
14323b02693a02
15173173b379e6
hexba57fb81922

12805440280866 has 64 divisors (see below), whose sum is σ = 28930019788800. Its totient is φ = 4197491020800.

The previous prime is 12805440280849. The next prime is 12805440280891. The reversal of 12805440280866 is 66808204450821.

12805440280866 is a `hidden beast` number, since 1 + 2 + 80 + 5 + 4 + 402 + 80 + 86 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13232386 + ... + 14167106.

It is an arithmetic number, because the mean of its divisors is an integer number (452031559200).

Almost surely, 212805440280866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12805440280866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14465009894400).

12805440280866 is an abundant number, since it is smaller than the sum of its proper divisors (16124579507934).

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

12805440280866 is a wasteful number, since it uses less digits than its factorization.

12805440280866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938952 (or 938946 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 12805440280866 in words is "twelve trillion, eight hundred five billion, four hundred forty million, two hundred eighty thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 3294 4159 8318 12477 24954 37431 74862 112293 224586 253699 507398 761097 934721 1522194 1869442 2283291 2804163 4566582 5608326 6849873 8412489 13699746 16824978 25237467 50474934 57017981 114035962 171053943 342107886 513161829 1026323658 1539485487 3078970974 3887504639 7775009278 11662513917 23325027834 34987541751 69975083502 104962625253 209925250506 237137782979 474275565958 711413348937 1422826697874 2134240046811 4268480093622 6402720140433 12805440280866