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14660113216 = 26725418641
BaseRepresentation
bin11011010011100111…
…11001001101000000
31101211200120220200011
431221303321031000
5220010442110331
610422413034304
71026201622600
oct155163711500
941750526604
1014660113216
116243285051
122a11785994
1314c82c4108
149d102ac00
155ac0773b1
hex369cf9340

14660113216 has 84 divisors (see below), whose sum is σ = 33907215396. Its totient is φ = 6270566400.

The previous prime is 14660113213. The next prime is 14660113231. The reversal of 14660113216 is 61231106641.

14660113216 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 2489610816 + 12170502400 = 49896^2 + 110320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14660113213) 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 11 ways as a sum of consecutive naturals, for example, 1692256 + ... + 1700896.

Almost surely, 214660113216 is an apocalyptic number.

14660113216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14660113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953607698).

14660113216 is an abundant number, since it is smaller than the sum of its proper divisors (19247102180).

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

14660113216 is an equidigital number, since it uses as much as digits as its factorization.

14660113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 14660113216 its reverse (61231106641), we get a palindrome (75891219857).

The spelling of 14660113216 in words is "fourteen billion, six hundred sixty million, one hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 541 784 1082 1568 2164 3136 3787 4328 7574 8641 8656 15148 17282 17312 26509 30296 34564 34624 53018 60487 60592 69128 106036 120974 121184 138256 212072 241948 242368 276512 423409 424144 483896 553024 846818 848288 967792 1693636 1696576 1935584 3387272 3871168 4674781 6774544 9349562 13549088 18699124 27098176 32723467 37398248 65446934 74796496 130893868 149592992 229064269 261787736 299185984 458128538 523575472 916257076 1047150944 1832514152 2094301888 3665028304 7330056608 14660113216