| Base | Representation |
|---|---|
| bin | 1001101010001000111101… |
| … | …00001010110001011100000 |
| 3 | 2210012102220011101122210100 |
| 4 | 10311010132201112023200 |
| 5 | 10240440212041234200 |
| 6 | 113101041450302400 |
| 7 | 4321322216424150 |
| oct | 465043641261340 |
| 9 | 83172804348710 |
| 10 | 21239125336800 |
| 11 | 684950a605818 |
| 12 | 2470350127a00 |
| 13 | bb0ac1688bb7 |
| 14 | 535d9cb10760 |
| 15 | 26c729883d00 |
| hex | 13511e8562e0 |
21239125336800 has 432 divisors, whose sum is σ = 87044427550080. Its totient is φ = 4772374225920.
The previous prime is 21239125336769. The next prime is 21239125336921. The reversal of 21239125336800 is 863352193212.
21239125336800 is a `hidden beast` number, since 2 + 1 + 2 + 39 + 1 + 2 + 533 + 6 + 80 + 0 = 666.
It is a super-3 number, since 3×212391253368003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 597682 + ... + 6544881.
It is an arithmetic number, because the mean of its divisors is an integer number (201491730440).
Almost surely, 221239125336800 is an apocalyptic number.
21239125336800 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 21239125336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43522213775040).
21239125336800 is an abundant number, since it is smaller than the sum of its proper divisors (65805302213280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21239125336800 is a wasteful number, since it uses less digits than its factorization.
21239125336800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7142655 (or 7142639 counting only the distinct ones).
The product of its (nonzero) digits is 466560, while the sum is 45.
The spelling of 21239125336800 in words is "twenty-one trillion, two hundred thirty-nine billion, one hundred twenty-five million, three hundred thirty-six thousand, eight hundred".
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