| Base | Representation |
|---|---|
| bin | 11001111010100011… |
| … | …10100110011100000 |
| 3 | 1022220121201212011100 |
| 4 | 30331101310303200 |
| 5 | 211443211003200 |
| 6 | 10220323314400 |
| 7 | 1001530263621 |
| oct | 147521646340 |
| 9 | 38817655140 |
| 10 | 13912984800 |
| 11 | 599a576450 |
| 12 | 284351ba00 |
| 13 | 14095936b0 |
| 14 | 95db05a48 |
| 15 | 566695d00 |
| hex | 33d474ce0 |
13912984800 has 432 divisors, whose sum is σ = 57641966928. Its totient is φ = 3113164800.
The previous prime is 13912984781. The next prime is 13912984849. The reversal of 13912984800 is 848921931.
13912984800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×139129848002 (a number of 21 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
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 71 ways as a sum of consecutive naturals, for example, 1022844 + ... + 1036356.
It is an arithmetic number, because the mean of its divisors is an integer number (133430479).
Almost surely, 213912984800 is an apocalyptic number.
13912984800 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 13912984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28820983464).
13912984800 is an abundant number, since it is smaller than the sum of its proper divisors (43728982128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13912984800 is a wasteful number, since it uses less digits than its factorization.
13912984800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13563 (or 13547 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 45.
The spelling of 13912984800 in words is "thirteen billion, nine hundred twelve million, nine hundred eighty-four thousand, eight hundred".
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