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13348342560 = 2535723533259
BaseRepresentation
bin11000110111001111…
…11000101100100000
31021110021021001121210
430123213320230200
5204314133430220
610044313150120
7651533016420
oct143347705440
937407231553
1013348342560
11572a878373
1227063bb340
1313495c7667
14908b24480
15531d0e6e0
hex31b9f8b20

13348342560 has 384 divisors, whose sum is σ = 51105116160. Its totient is φ = 2862452736.

The previous prime is 13348342549. The next prime is 13348342661. The reversal of 13348342560 is 6524384331.

13348342560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 4094211 + ... + 4097469.

It is an arithmetic number, because the mean of its divisors is an integer number (133086240).

Almost surely, 213348342560 is an apocalyptic number.

13348342560 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 13348342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25552558080).

13348342560 is an abundant number, since it is smaller than the sum of its proper divisors (37756773600).

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

13348342560 is a wasteful number, since it uses less digits than its factorization.

13348342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 13348342560 in words is "thirteen billion, three hundred forty-eight million, three hundred forty-two thousand, five hundred sixty".