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12328441767216 = 2432311275286749
BaseRepresentation
bin1011001101100111000001…
…1001000110010100110000
31121122120212022012121101100
42303121300121012110300
53103442122043022331
642115335153004400
72411462164662111
oct263316031062460
947576768177340
1012328441767216
113a2350aa80843
121471402253700
136b574ab12843
143089b2228208
15165a57509ae6
hexb3670646530

12328441767216 has 60 divisors (see below), whose sum is σ = 34613454798000. Its totient is φ = 4096266810240.

The previous prime is 12328441767193. The next prime is 12328441767223. The reversal of 12328441767216 is 61276714482321.

12328441767216 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 8 + 4 + 417 + 6 + 7 + 216 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137598591 + ... + 137688158.

It is an arithmetic number, because the mean of its divisors is an integer number (576890913300).

Almost surely, 212328441767216 is an apocalyptic number.

12328441767216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12328441767216 is an abundant number, since it is smaller than the sum of its proper divisors (22285013030784).

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

12328441767216 is a wasteful number, since it uses less digits than its factorization.

12328441767216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275287074 (or 275287065 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 12328441767216 in words is "twelve trillion, three hundred twenty-eight billion, four hundred forty-one million, seven hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 311 622 933 1244 1866 2488 2799 3732 4976 5598 7464 11196 14928 22392 44784 275286749 550573498 825860247 1101146996 1651720494 2202293992 2477580741 3303440988 4404587984 4955161482 6606881976 9910322964 13213763952 19820645928 39641291856 85614178939 171228357878 256842536817 342456715756 513685073634 684913431512 770527610451 1027370147268 1369826863024 1541055220902 2054740294536 3082110441804 4109480589072 6164220883608 12328441767216