Base | Representation |
---|---|
bin | 1100010111011111001… |
… | …1011010100001110100 |
3 | 202022101221022012001100 |
4 | 3011313303122201310 |
5 | 11440111110123322 |
6 | 241334311130100 |
7 | 21231016540551 |
oct | 3056763324164 |
9 | 668357265040 |
10 | 212463364212 |
11 | 82118037200 |
12 | 35215673930 |
13 | 1705c47c5b8 |
14 | a3d7479a28 |
15 | 57d7722dac |
hex | 3177cda874 |
212463364212 has 216 divisors, whose sum is σ = 602900488008. Its totient is φ = 63024445440.
The previous prime is 212463364207. The next prime is 212463364249.
212463364212 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 6 + 3 + 3 + 642 + 1 + 2 = 666.
212463364212 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 4 ways, for example, as 25637133456 + 186826230756 = 160116^2 + 432234^2 .
It is a super-2 number, since 2×2124633642122 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43561918 + ... + 43566794.
It is an arithmetic number, because the mean of its divisors is an integer number (2791205963).
Almost surely, 2212463364212 is an apocalyptic number.
212463364212 is a gapful number since it is divisible by the number (22) 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 212463364212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301450244004).
212463364212 is an abundant number, since it is smaller than the sum of its proper divisors (390437123796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212463364212 is a wasteful number, since it uses less digits than its factorization.
212463364212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5119 (or 5103 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
It can be divided in two parts, 212463 and 364212, that added together give a palindrome (576675).
The spelling of 212463364212 in words is "two hundred twelve billion, four hundred sixty-three million, three hundred sixty-four thousand, two hundred twelve".
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