Base | Representation |
---|---|
bin | 1100011100000100110… |
… | …0100010000110000000 |
3 | 202102120202020210102000 |
4 | 3013001030202012000 |
5 | 12000121314414233 |
6 | 242100414424000 |
7 | 21303360600000 |
oct | 3070114420600 |
9 | 672522223360 |
10 | 213694685568 |
11 | 8269a096161 |
12 | 354b9b02000 |
13 | 171c75bc310 |
14 | a4b2c00000 |
15 | 585a898d13 |
hex | 31c1322180 |
213694685568 has 768 divisors, whose sum is σ = 795206361600. Its totient is φ = 56159889408.
The previous prime is 213694685527. The next prime is 213694685639. The reversal of 213694685568 is 865586496312.
It is a happy number.
213694685568 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 9 + 4 + 68 + 5 + 568 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 755104755 + ... + 755105037.
It is an arithmetic number, because the mean of its divisors is an integer number (1035424950).
Almost surely, 2213694685568 is an apocalyptic number.
213694685568 is a gapful number since it is divisible by the number (28) 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 213694685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397603180800).
213694685568 is an abundant number, since it is smaller than the sum of its proper divisors (581511676032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213694685568 is an frugal number, since it uses more digits than its factorization.
213694685568 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 354 (or 308 counting only the distinct ones).
The product of its digits is 74649600, while the sum is 63.
The spelling of 213694685568 in words is "two hundred thirteen billion, six hundred ninety-four million, six hundred eighty-five thousand, five hundred sixty-eight".
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