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11648789968 = 241375314229
BaseRepresentation
bin10101101100101001…
…00110110111010000
31010001211020211202111
422312110212313100
5142324042234333
65203521555104
7561445036534
oct126624466720
933054224674
1011648789968
114a38490352
1223111a5a94
13113847693a
147c7117bc4
154829e84cd
hex2b6526dd0

11648789968 has 20 divisors (see below), whose sum is σ = 22734275940. Its totient is φ = 5781880064.

The previous prime is 11648789959. The next prime is 11648789969. The reversal of 11648789968 is 86998784611.

11648789968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7325990464 + 4322799504 = 85592^2 + 65748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11648789969) 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, 2654923 + ... + 2659306.

It is an arithmetic number, because the mean of its divisors is an integer number (1136713797).

Almost surely, 211648789968 is an apocalyptic number.

It is an amenable number.

11648789968 is a deficient number, since it is larger than the sum of its proper divisors (11085485972).

11648789968 is a wasteful number, since it uses less digits than its factorization.

11648789968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314374 (or 5314368 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 67.

The spelling of 11648789968 in words is "eleven billion, six hundred forty-eight million, seven hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 137 274 548 1096 2192 5314229 10628458 21256916 42513832 85027664 728049373 1456098746 2912197492 5824394984 11648789968