| Base | Representation |
|---|---|
| bin | 110001010100110001100010… |
| … | …110001000111101100000000 |
| 3 | 1001110002111001200020100120000 |
| 4 | 301110301202301013230000 |
| 5 | 211413202424444330310 |
| 6 | 2045213042331320000 |
| 7 | 63456544564156260 |
| oct | 6124614261075400 |
| 9 | 1043074050210500 |
| 10 | 216931865230080 |
| 11 | 6313731857a600 |
| 12 | 203b6a228b0000 |
| 13 | 9407782b76b00 |
| 14 | 3b7d7b5d897a0 |
| 15 | 1a12d67c114c0 |
| hex | c54c62c47b00 |
216931865230080 has 6480 divisors, whose sum is σ = 1081797740255232. Its totient is φ = 40593059020800.
The previous prime is 216931865230061. The next prime is 216931865230081. The reversal of 216931865230080 is 80032568139612.
216931865230080 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 31 + 8 + 6 + 523 + 0 + 0 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (6480).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 216931865229999 and 216931865230026.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (216931865230081) by changing a digit.
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 719 ways as a sum of consecutive naturals, for example, 697530113125 + ... + 697530113435.
Almost surely, 2216931865230080 is an apocalyptic number.
216931865230080 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 216931865230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540898870127616).
216931865230080 is an abundant number, since it is smaller than the sum of its proper divisors (864865875025152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216931865230080 is a wasteful number, since it uses less digits than its factorization.
216931865230080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 446 (or 399 counting only the distinct ones).
The product of its (nonzero) digits is 3732480, while the sum is 54.
The spelling of 216931865230080 in words is "two hundred sixteen trillion, nine hundred thirty-one billion, eight hundred sixty-five million, two hundred thirty thousand, eighty".
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