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12072765827144 = 2311137190520763
BaseRepresentation
bin1010111110101110100011…
…1010110010100001001000
31120202010220210211010020102
42233223220322302201020
53040300011022432034
641402052502144532
72354141251232111
oct257535072624110
946663823733212
1012072765827144
113935038633830
12142b948a22148
136975c2b5b039
142da479a81208
1515e09126a97e
hexafae8eb2848

12072765827144 has 16 divisors (see below), whose sum is σ = 24694293737520. Its totient is φ = 5487620830480.

The previous prime is 12072765827123. The next prime is 12072765827153. The reversal of 12072765827144 is 44172856727021.

12072765827144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12072765827144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68595260294 + ... + 68595260469.

It is an arithmetic number, because the mean of its divisors is an integer number (1543393358595).

Almost surely, 212072765827144 is an apocalyptic number.

It is an amenable number.

12072765827144 is an abundant number, since it is smaller than the sum of its proper divisors (12621527910376).

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

12072765827144 is a wasteful number, since it uses less digits than its factorization.

12072765827144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137190520780 (or 137190520776 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 56.

The spelling of 12072765827144 in words is "twelve trillion, seventy-two billion, seven hundred sixty-five million, eight hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 137190520763 274381041526 548762083052 1097524166104 1509095728393 3018191456786 6036382913572 12072765827144