| Base | Representation |
|---|---|
| bin | 1001101010001101101000… |
| … | …10010100000011000000000 |
| 3 | 2210012200101021110122020000 |
| 4 | 10311012310102200120000 |
| 5 | 10241010333313410200 |
| 6 | 113102135050120000 |
| 7 | 4321441410103620 |
| oct | 465066422403000 |
| 9 | 83180337418200 |
| 10 | 21241638028800 |
| 11 | 684a589998482 |
| 12 | 2470931720000 |
| 13 | bb11021102b7 |
| 14 | 53615a706880 |
| 15 | 26c82526a300 |
| hex | 1351b44a0600 |
21241638028800 has 2400 divisors, whose sum is σ = 92389254566400. Its totient is φ = 4719925002240.
The previous prime is 21241638028759. The next prime is 21241638028801. The reversal of 21241638028800 is 882083614212.
21241638028800 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 638 + 0 + 2 + 8 + 8 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2400).
It is a super-2 number, since 2×212416380288002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21241638028801) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48386418981 + ... + 48386419419.
It is an arithmetic number, because the mean of its divisors is an integer number (38495522736).
Almost surely, 221241638028800 is an apocalyptic number.
21241638028800 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 21241638028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46194627283200).
21241638028800 is an abundant number, since it is smaller than the sum of its proper divisors (71147616537600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21241638028800 is a wasteful number, since it uses less digits than its factorization.
21241638028800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 658 (or 628 counting only the distinct ones).
The product of its (nonzero) digits is 294912, while the sum is 45.
The spelling of 21241638028800 in words is "twenty-one trillion, two hundred forty-one billion, six hundred thirty-eight million, twenty-eight thousand, eight hundred".
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