Base | Representation |
---|---|
bin | 10011111111111101… |
… | …101101001000111000 |
3 | 2001102120120011101200 |
4 | 103333331231020320 |
5 | 322434401004221 |
6 | 13510511214200 |
7 | 1360102661640 |
oct | 237775551070 |
9 | 61376504350 |
10 | 21474234936 |
11 | 911a711600 |
12 | 41b3817360 |
13 | 2042c486bb |
14 | 1079ddd520 |
15 | 85a3c6426 |
hex | 4fff6d238 |
21474234936 has 576 divisors, whose sum is σ = 77707069440. Its totient is φ = 5234803200.
The previous prime is 21474234919. The next prime is 21474235001. The reversal of 21474234936 is 63943247412.
21474234936 is a `hidden beast` number, since 214 + 7 + 423 + 4 + 9 + 3 + 6 = 666.
It is a super-2 number, since 2×214742349362 (a number of 21 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 21474234891 and 21474234900.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69948495 + ... + 69948801.
Almost surely, 221474234936 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 21474234936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38853534720).
21474234936 is an abundant number, since it is smaller than the sum of its proper divisors (56232834504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21474234936 is a wasteful number, since it uses less digits than its factorization.
21474234936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 416 (or 398 counting only the distinct ones).
The product of its digits is 870912, while the sum is 45.
The spelling of 21474234936 in words is "twenty-one billion, four hundred seventy-four million, two hundred thirty-four thousand, nine hundred thirty-six".
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