| Base | Representation |
|---|---|
| bin | 1001010101000110110111… |
| … | …01100000011100010000000 |
| 3 | 2200122100112122102200200000 |
| 4 | 10222203123230003202000 |
| 5 | 10142120142042033200 |
| 6 | 111345043220400000 |
| 7 | 4215156513626160 |
| oct | 452433354034200 |
| 9 | 80570478380600 |
| 10 | 20516449564800 |
| 11 | 659aa82a09a92 |
| 12 | 2374285546000 |
| 13 | b5a9013915b7 |
| 14 | 50d003dda5a0 |
| 15 | 258a2ebb4300 |
| hex | 12a8dbb03880 |
20516449564800 has 1152 divisors, whose sum is σ = 91868516288640. Its totient is φ = 4413602856960.
The previous prime is 20516449564789. The next prime is 20516449564801. The reversal of 20516449564800 is 846594461502.
It is a happy number.
20516449564800 is a `hidden beast` number, since 2 + 0 + 5 + 16 + 4 + 495 + 64 + 80 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-3 number, since 3×205164495648003 (a number of 41 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (20516449564801) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92423542 + ... + 92645258.
It is an arithmetic number, because the mean of its divisors is an integer number (79746975945).
Almost surely, 220516449564800 is an apocalyptic number.
20516449564800 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 20516449564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934258144320).
20516449564800 is an abundant number, since it is smaller than the sum of its proper divisors (71352066723840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20516449564800 is a wasteful number, since it uses less digits than its factorization.
20516449564800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 221780 (or 221751 counting only the distinct ones).
The product of its (nonzero) digits is 8294400, while the sum is 54.
The spelling of 20516449564800 in words is "twenty trillion, five hundred sixteen billion, four hundred forty-nine million, five hundred sixty-four thousand, eight hundred".
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