| Base | Representation |
|---|---|
| bin | 110001010100000010111001… |
| … | …000010010111100100000000 |
| 3 | 1001102220200202122211121220000 |
| 4 | 301110002321002113210000 |
| 5 | 211411342332341001301 |
| 6 | 2045134035552520000 |
| 7 | 63453122342126220 |
| oct | 6124027102274400 |
| 9 | 1042820678747800 |
| 10 | 216881772984576 |
| 11 | 631180528320a7 |
| 12 | 203a9182b50000 |
| 13 | 9402b2bc7a05b |
| 14 | 3b7b1c32c6080 |
| 15 | 1a118d51e9786 |
| hex | c540b9097900 |
216881772984576 has 1440 divisors, whose sum is σ = 769223147616000. Its totient is φ = 59497920921600.
The previous prime is 216881772984559. The next prime is 216881772984593. The reversal of 216881772984576 is 675489277188612.
216881772984576 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 8 + 1 + 7 + 72 + 98 + 457 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (216881772984559) and next prime (216881772984593).
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a junction number, because it is equal to n+sod(n) for n = 216881772984495 and 216881772984504.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 93928874110 + ... + 93928876418.
It is an arithmetic number, because the mean of its divisors is an integer number (534182741400).
Almost surely, 2216881772984576 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 216881772984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384611573808000).
216881772984576 is an abundant number, since it is smaller than the sum of its proper divisors (552341374631424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216881772984576 is a wasteful number, since it uses less digits than its factorization.
216881772984576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2637 (or 2614 counting only the distinct ones).
The product of its digits is 4551966720, while the sum is 81.
The spelling of 216881772984576 in words is "two hundred sixteen trillion, eight hundred eighty-one billion, seven hundred seventy-two million, nine hundred eighty-four thousand, five hundred seventy-six".
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