| Base | Representation |
|---|---|
| bin | 1001110100110110000111… |
| … | …11111011100000110000000 |
| 3 | 2211111121101010221221121000 |
| 4 | 10322123003333130012000 |
| 5 | 10313002040230424034 |
| 6 | 113542035013132000 |
| 7 | 4360023644001300 |
| oct | 472330377340600 |
| 9 | 84447333857530 |
| 10 | 21606973686144 |
| 11 | 6980514398100 |
| 12 | 250b6ab92a000 |
| 13 | c096b4c2b782 |
| 14 | 549ad6bb5600 |
| 15 | 2770a87d7599 |
| hex | 13a6c3fdc180 |
21606973686144 has 3456 divisors, whose sum is σ = 90505058918400. Its totient is φ = 5045611253760.
The previous prime is 21606973686143. The next prime is 21606973686157. The reversal of 21606973686144 is 44168637960612.
21606973686144 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 6 + 9 + 7 + 3 + 6 + 8 + 614 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-2 number, since 2×216069736861442 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21606973686143) by changing a digit.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 170133651009 + ... + 170133651135.
It is an arithmetic number, because the mean of its divisors is an integer number (26187806400).
Almost surely, 221606973686144 is an apocalyptic number.
21606973686144 is a gapful number since it is divisible by the number (24) 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 21606973686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45252529459200).
21606973686144 is an abundant number, since it is smaller than the sum of its proper divisors (68898085232256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21606973686144 is a wasteful number, since it uses less digits than its factorization.
21606973686144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 247 (or 192 counting only the distinct ones).
The product of its (nonzero) digits is 62705664, while the sum is 63.
The spelling of 21606973686144 in words is "twenty-one trillion, six hundred six billion, nine hundred seventy-three million, six hundred eighty-six thousand, one hundred forty-four".
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