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12266641371808 = 2531132718894933
BaseRepresentation
bin1011001010000000110011…
…0011010011001010100000
31121102200100022212020102201
42302200030303103022200
53101434040142344213
642031114532022544
72404143544202155
oct262401463231240
947380308766381
1012266641371808
1139aa287299a9a
121461435461a54
136ac97c387635
143059cc5d822c
1516413bbc16dd
hexb280ccd32a0

12266641371808 has 96 divisors (see below), whose sum is σ = 24966033684480. Its totient is φ = 5926657351680.

The previous prime is 12266641371781. The next prime is 12266641371821. The reversal of 12266641371808 is 80817314666221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2486646910 + ... + 2486651842.

It is an arithmetic number, because the mean of its divisors is an integer number (260062850880).

Almost surely, 212266641371808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12266641371808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483016842240).

12266641371808 is an abundant number, since it is smaller than the sum of its proper divisors (12699392312672).

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

12266641371808 is a wasteful number, since it uses less digits than its factorization.

12266641371808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8190 (or 8182 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 12266641371808 in words is "twelve trillion, two hundred sixty-six billion, six hundred forty-one million, three hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1327 1889 2654 3778 4933 5308 7556 9866 10616 15112 19732 21232 30224 39464 41137 42464 58559 60448 78928 82274 117118 152923 157856 164548 234236 305846 329096 468472 611692 658192 936944 1223384 1316384 1873888 2446768 2506703 4893536 5013406 6546091 9318437 10026812 13092182 18636874 20053624 26184364 37273748 40107248 52368728 74547496 77707793 80214496 104737456 149094992 155415586 202928821 209474912 288871547 298189984 310831172 405857642 577743094 621662344 811715284 1155486188 1243324688 1623430568 2310972376 2486649376 3246861136 4621944752 6493722272 9243889504 12365565899 24731131798 49462263596 98924527192 197849054384 383332542869 395698108768 766665085738 1533330171476 3066660342952 6133320685904 12266641371808