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10663258848 = 2531110097783
BaseRepresentation
bin10011110111001010…
…00110101011100000
31000112010210200012220
421323211012223200
5133314243240343
64522034351040
7525150130134
oct117345065340
930463720186
1010663258848
11458214a220
12209712b480
13100c234428
147322953c4
15426224183
hex27b946ae0

10663258848 has 48 divisors (see below), whose sum is σ = 30535698816. Its totient is φ = 3231290240.

The previous prime is 10663258841. The next prime is 10663258871. The reversal of 10663258848 is 84885236601.

It is a happy number.

10663258848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106632588482 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10663258848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10663258841) 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 7 ways as a sum of consecutive naturals, for example, 5047836 + ... + 5049947.

It is an arithmetic number, because the mean of its divisors is an integer number (636160392).

Almost surely, 210663258848 is an apocalyptic number.

It is an amenable number.

10663258848 is an abundant number, since it is smaller than the sum of its proper divisors (19872439968).

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

10663258848 is a wasteful number, since it uses less digits than its factorization.

10663258848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10097807 (or 10097799 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 10663258848 in words is "ten billion, six hundred sixty-three million, two hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 10097783 20195566 30293349 40391132 60586698 80782264 111075613 121173396 161564528 222151226 242346792 323129056 333226839 444302452 484693584 666453678 888604904 969387168 1332907356 1777209808 2665814712 3554419616 5331629424 10663258848