| Base | Representation |
|---|---|
| bin | 1001101011000000100010… |
| … | …01101110001010101000000 |
| 3 | 2210022021220212111201212000 |
| 4 | 10311200101031301111000 |
| 5 | 10241432321004404014 |
| 6 | 113122454542104000 |
| 7 | 4323426553330500 |
| oct | 465402115612500 |
| 9 | 83267825451760 |
| 10 | 21268966872384 |
| 11 | 6860133356120 |
| 12 | 2476099b7b000 |
| 13 | bb3868c7a46a |
| 14 | 5375d00a9a00 |
| 15 | 26d3c460a509 |
| hex | 135811371540 |
21268966872384 has 1344 divisors, whose sum is σ = 80808088320000. Its totient is φ = 5423319982080.
The previous prime is 21268966872383. The next prime is 21268966872403. The reversal of 21268966872384 is 48327866986212.
21268966872384 is a `hidden beast` number, since 21 + 2 + 68 + 96 + 6 + 87 + 2 + 384 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21268966872383) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35507456917 + ... + 35507457515.
Almost surely, 221268966872384 is an apocalyptic number.
21268966872384 is a gapful number since it is divisible by the number (24) 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 21268966872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40404044160000).
21268966872384 is an abundant number, since it is smaller than the sum of its proper divisors (59539121447616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21268966872384 is a wasteful number, since it uses less digits than its factorization.
21268966872384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1281 (or 1258 counting only the distinct ones).
The product of its digits is 668860416, while the sum is 72.
The spelling of 21268966872384 in words is "twenty-one trillion, two hundred sixty-eight billion, nine hundred sixty-six million, eight hundred seventy-two thousand, three hundred eighty-four".
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