| Base | Representation |
|---|---|
| bin | 1001101110011000101101… |
| … | …00101001100110110111000 |
| 3 | 2210201101110212212011002000 |
| 4 | 10313030112211030312320 |
| 5 | 10300333010340030103 |
| 6 | 113252050521141000 |
| 7 | 4335005520310050 |
| oct | 467142645146670 |
| 9 | 83641425764060 |
| 10 | 21385021017528 |
| 11 | 68a5377949073 |
| 12 | 249468832a760 |
| 13 | bc17a282016c |
| 14 | 53d07d354560 |
| 15 | 271417e83aa3 |
| hex | 13731694cdb8 |
21385021017528 has 256 divisors, whose sum is σ = 68522960486400. Its totient is φ = 6053085521280.
The previous prime is 21385021017527. The next prime is 21385021017533. The reversal of 21385021017528 is 82571012058312.
21385021017528 is a `hidden beast` number, since 2 + 1 + 38 + 502 + 101 + 7 + 5 + 2 + 8 = 666.
It is a super-3 number, since 3×213850210175283 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21385021017527) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132608001 + ... + 132769167.
It is an arithmetic number, because the mean of its divisors is an integer number (267667814400).
Almost surely, 221385021017528 is an apocalyptic number.
21385021017528 is a gapful number since it is divisible by the number (28) 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 21385021017528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34261480243200).
21385021017528 is an abundant number, since it is smaller than the sum of its proper divisors (47137939468872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21385021017528 is a wasteful number, since it uses less digits than its factorization.
21385021017528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162007 (or 161997 counting only the distinct ones).
The product of its (nonzero) digits is 268800, while the sum is 45.
The spelling of 21385021017528 in words is "twenty-one trillion, three hundred eighty-five billion, twenty-one million, seventeen thousand, five hundred twenty-eight".
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