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13128866112480 = 25352329311322813
BaseRepresentation
bin1011111100001100110101…
…1001101010001111100000
31201111002220020211022122020
42333003031121222033200
53210100404211044410
643531152352341440
72523346353443256
oct277031531521740
951432806738566
1013128866112480
114201a147193a8
121580566844880
1374307b975991
14335624a905d6
1517b7a2bbda70
hexbf0cd66a3e0

13128866112480 has 384 divisors, whose sum is σ = 46082183454720. Its totient is φ = 3129032417280.

The previous prime is 13128866112469. The next prime is 13128866112493. The reversal of 13128866112480 is 8421166882131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9263554 + ... + 10586366.

It is an arithmetic number, because the mean of its divisors is an integer number (120005686080).

Almost surely, 213128866112480 is an apocalyptic number.

13128866112480 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 13128866112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23041091727360).

13128866112480 is an abundant number, since it is smaller than the sum of its proper divisors (32953317342240).

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

13128866112480 is a wasteful number, since it uses less digits than its factorization.

13128866112480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322914 (or 1322906 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 13128866112480 in words is "thirteen trillion, one hundred twenty-eight billion, eight hundred sixty-six million, one hundred twelve thousand, four hundred eighty".