Base | Representation |
---|---|
bin | 1100101111010100001… |
… | …1010111010110000000 |
3 | 202220220201001220212221 |
4 | 3023311003113112000 |
5 | 12041211033233033 |
6 | 244313122100424 |
7 | 21545355312253 |
oct | 3136503272600 |
9 | 686821056787 |
10 | 218859664768 |
11 | 848aa636508 |
12 | 364bb7aa714 |
13 | 1783b692b24 |
14 | a842b6909a |
15 | 5a5e03d12d |
hex | 32f50d7580 |
218859664768 has 64 divisors (see below), whose sum is σ = 451210953600. Its totient is φ = 105617354752.
The previous prime is 218859664757. The next prime is 218859664783. The reversal of 218859664768 is 867466958812.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×2188596647682 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 218859664697 and 218859664706.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11746596 + ... + 11765212.
It is an arithmetic number, because the mean of its divisors is an integer number (7050171150).
Almost surely, 2218859664768 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 218859664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225605476800).
218859664768 is an abundant number, since it is smaller than the sum of its proper divisors (232351288832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
218859664768 is a wasteful number, since it uses less digits than its factorization.
218859664768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21827 (or 21815 counting only the distinct ones).
The product of its digits is 278691840, while the sum is 70.
The spelling of 218859664768 in words is "two hundred eighteen billion, eight hundred fifty-nine million, six hundred sixty-four thousand, seven hundred sixty-eight".
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