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13663113060 = 22354161831097
BaseRepresentation
bin11001011100110001…
…01000111101100100
31022021012120001120110
430232120220331210
5210440224104220
610135435533020
7662404354602
oct145630507544
938235501513
1013663113060
115881520083
1227938ba170
1313998974ac
14938860872
1554e789be0
hex32e628f64

13663113060 has 192 divisors, whose sum is σ = 40348917504. Its totient is φ = 3451084800.

The previous prime is 13663113059. The next prime is 13663113067. The reversal of 13663113060 is 6031136631.

13663113060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13663113067) 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 63 ways as a sum of consecutive naturals, for example, 12454432 + ... + 12455528.

It is an arithmetic number, because the mean of its divisors is an integer number (210150612).

Almost surely, 213663113060 is an apocalyptic number.

13663113060 is a gapful number since it is divisible by the number (10) 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 13663113060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174458752).

13663113060 is an abundant number, since it is smaller than the sum of its proper divisors (26685804444).

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

13663113060 is a wasteful number, since it uses less digits than its factorization.

13663113060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

Adding to 13663113060 its reverse (6031136631), we get a palindrome (19694249691).

The spelling of 13663113060 in words is "thirteen billion, six hundred sixty-three million, one hundred thirteen thousand, sixty".