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12527066144 = 251147134127
BaseRepresentation
bin10111010101010101…
…11101110000100000
31012100000212220011202
423222222331300200
5201123412104034
65431014300332
7622301206505
oct135252756040
935300786152
1012527066144
11534922522a
1225173576a8
131248405398
1486ba1b4ac
154d4b8347e
hex2eaabdc20

12527066144 has 24 divisors (see below), whose sum is σ = 24665534208. Its totient is φ = 6262803520.

The previous prime is 12527066093. The next prime is 12527066147. The reversal of 12527066144 is 44166072521.

It is a happy number.

12527066144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12527066098 and 12527066107.

It is not an unprimeable number, because it can be changed into a prime (12527066147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 350009 + ... + 384135.

It is an arithmetic number, because the mean of its divisors is an integer number (1027730592).

Almost surely, 212527066144 is an apocalyptic number.

It is an amenable number.

12527066144 is a deficient number, since it is larger than the sum of its proper divisors (12138468064).

12527066144 is a wasteful number, since it uses less digits than its factorization.

12527066144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45608 (or 45600 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 12527066144 in words is "twelve billion, five hundred twenty-seven million, sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 11471 22942 34127 45884 68254 91768 136508 183536 273016 367072 546032 1092064 391470817 782941634 1565883268 3131766536 6263533072 12527066144