| Base | Representation |
|---|---|
| bin | 11001110010110110… |
| … | …11001001000000000 |
| 3 | 1022202010011210112010 |
| 4 | 30321123121020000 |
| 5 | 211330141242000 |
| 6 | 10210054532520 |
| 7 | 1000114215243 |
| oct | 147133311000 |
| 9 | 38663153463 |
| 10 | 13848384000 |
| 11 | 5967062960 |
| 12 | 2825967140 |
| 13 | 13c9095579 |
| 14 | 9552cb25a |
| 15 | 560b84d50 |
| hex | 3396d9200 |
13848384000 has 640 divisors, whose sum is σ = 51476705280. Its totient is φ = 3274752000.
The previous prime is 13848383999. The next prime is 13848384001. The reversal of 13848384000 is 48384831.
It is an interprime number because it is at equal distance from previous prime (13848383999) and next prime (13848384001).
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×138483840002 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 13848384000.
It is not an unprimeable number, because it can be changed into a prime (13848384001) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166847959 + ... + 166848041.
It is an arithmetic number, because the mean of its divisors is an integer number (80432352).
Almost surely, 213848384000 is an apocalyptic number.
13848384000 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 13848384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738352640).
13848384000 is an abundant number, since it is smaller than the sum of its proper divisors (37628321280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13848384000 is an equidigital number, since it uses as much as digits as its factorization.
13848384000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 209 (or 183 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 39.
The spelling of 13848384000 in words is "thirteen billion, eight hundred forty-eight million, three hundred eighty-four thousand".
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