| Base | Representation |
|---|---|
| bin | 1001111000111101010101… |
| … | …00001110001100010000000 |
| 3 | 2212000010010001110202202200 |
| 4 | 10330132222201301202000 |
| 5 | 10322310434240300000 |
| 6 | 114131004434313200 |
| 7 | 4403155443153060 |
| oct | 474365241614200 |
| 9 | 85003101422680 |
| 10 | 21748280400000 |
| 11 | 6a25437344750 |
| 12 | 2532b67128800 |
| 13 | c19b1443961b |
| 14 | 55289db913a0 |
| 15 | 27aac90c3500 |
| hex | 13c7aa871880 |
21748280400000 has 2304 divisors, whose sum is σ = 99065749386240. Its totient is φ = 4447872000000.
The previous prime is 21748280399999. The next prime is 21748280400001. The reversal of 21748280400000 is 408284712.
21748280400000 is a `hidden beast` number, since 2 + 174 + 8 + 2 + 80 + 400 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (21748280399999) and next prime (21748280400001).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (21748280400001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18572399415 + ... + 18572400585.
It is an arithmetic number, because the mean of its divisors is an integer number (42997287060).
Almost surely, 221748280400000 is an apocalyptic number.
21748280400000 is a gapful number since it is divisible by the number (20) 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 21748280400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49532874693120).
21748280400000 is an abundant number, since it is smaller than the sum of its proper divisors (77317468986240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21748280400000 is a wasteful number, since it uses less digits than its factorization.
21748280400000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1301 (or 1266 counting only the distinct ones).
The product of its (nonzero) digits is 28672, while the sum is 36.
Adding to 21748280400000 its reverse (408284712), we get a palindrome (21748688684712).
The spelling of 21748280400000 in words is "twenty-one trillion, seven hundred forty-eight billion, two hundred eighty million, four hundred thousand".
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