| Base | Representation |
|---|---|
| bin | 1100100010111011011100… |
| … | …1011101011110000100000 |
| 3 | 1210211201021102220110211210 |
| 4 | 3020232313023223300200 |
| 5 | 3302001022044441200 |
| 6 | 45200550223310120 |
| 7 | 2622412315165101 |
| oct | 310566713536040 |
| 9 | 53751242813753 |
| 10 | 13794213280800 |
| 11 | 4439102867727 |
| 12 | 16694b214b340 |
| 13 | 790a33ac3294 |
| 14 | 359901a1a3a8 |
| 15 | 18dc44920650 |
| hex | c8bb72ebc20 |
13794213280800 has 288 divisors, whose sum is σ = 45009374965632. Its totient is φ = 3669518868480.
The previous prime is 13794213280789. The next prime is 13794213280811. The reversal of 13794213280800 is 808231249731.
It is a happy number.
13794213280800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (13794213280789) and next prime (13794213280811).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 13794213280800.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3498403629 + ... + 3498407571.
It is an arithmetic number, because the mean of its divisors is an integer number (156282551964).
Almost surely, 213794213280800 is an apocalyptic number.
13794213280800 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 13794213280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22504687482816).
13794213280800 is an abundant number, since it is smaller than the sum of its proper divisors (31215161684832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13794213280800 is a wasteful number, since it uses less digits than its factorization.
13794213280800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7140 (or 7127 counting only the distinct ones).
The product of its (nonzero) digits is 580608, while the sum is 48.
The spelling of 13794213280800 in words is "thirteen trillion, seven hundred ninety-four billion, two hundred thirteen million, two hundred eighty thousand, eight hundred".
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