Base | Representation |
---|---|
bin | 10011111110001111… |
… | …111010101001001100 |
3 | 2001100120101221221100 |
4 | 103332033322221030 |
5 | 322410014020122 |
6 | 13504002303100 |
7 | 1356303232464 |
oct | 237617725114 |
9 | 61316357840 |
10 | 21445454412 |
11 | 9105444348 |
12 | 41a6057a90 |
13 | 2039cac7c5 |
14 | 107626aba4 |
15 | 857addaac |
hex | 4fe3faa4c |
21445454412 has 144 divisors (see below), whose sum is σ = 59455468800. Its totient is φ = 6498455040.
The previous prime is 21445454399. The next prime is 21445454417.
21445454412 is a `hidden beast` number, since 2 + 144 + 54 + 54 + 412 = 666.
21445454412 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (21445454417) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188514 + ... + 1206422.
It is an arithmetic number, because the mean of its divisors is an integer number (412885200).
Almost surely, 221445454412 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 21445454412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29727734400).
21445454412 is an abundant number, since it is smaller than the sum of its proper divisors (38010014388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21445454412 is a wasteful number, since it uses less digits than its factorization.
21445454412 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18016 (or 18011 counting only the distinct ones).
The product of its digits is 102400, while the sum is 36.
It can be divided in two parts, 2144 and 5454412, that added together give a triangular number (5456556 = T3303).
The spelling of 21445454412 in words is "twenty-one billion, four hundred forty-five million, four hundred fifty-four thousand, four hundred twelve".
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