Base | Representation |
---|---|
bin | 1001101010001110000011… |
… | …01010100010110000000000 |
3 | 2210012200221220201121000000 |
4 | 10311013001222202300000 |
5 | 10241011313240340132 |
6 | 113102213224000000 |
7 | 4321450103364600 |
oct | 465070152426000 |
9 | 83180856647000 |
10 | 21241862433792 |
11 | 684a69462a250 |
12 | 2470994900000 |
13 | bb1139760a10 |
14 | 53617c43cc00 |
15 | 26c839ce587c |
hex | 1351c1aa2c00 |
21241862433792 has 3696 divisors, whose sum is σ = 90499473275904. Its totient is φ = 4891041792000.
The previous prime is 21241862433739. The next prime is 21241862433809. The reversal of 21241862433792 is 29733426814212.
21241862433792 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 8 + 624 + 3 + 3 + 7 + 9 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (3696).
It is a super-2 number, since 2×212418624337922 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 162151621567 + ... + 162151621697.
It is an arithmetic number, because the mean of its divisors is an integer number (24485788224).
Almost surely, 221241862433792 is an apocalyptic number.
21241862433792 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 21241862433792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45249736637952).
21241862433792 is an abundant number, since it is smaller than the sum of its proper divisors (69257610842112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21241862433792 is a wasteful number, since it uses less digits than its factorization.
21241862433792 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 238 (or 198 counting only the distinct ones).
The product of its digits is 6967296, while the sum is 54.
The spelling of 21241862433792 in words is "twenty-one trillion, two hundred forty-one billion, eight hundred sixty-two million, four hundred thirty-three thousand, seven hundred ninety-two".
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