| Base | Representation |
|---|---|
| bin | 1001101001101000001010… |
| … | …11001101000010010111000 |
| 3 | 2210010202110111101211102200 |
| 4 | 10310310011121220102320 |
| 5 | 10240143140121424024 |
| 6 | 113045011125030200 |
| 7 | 4320130101565050 |
| oct | 464640531502270 |
| 9 | 83122414354380 |
| 10 | 21221524014264 |
| 11 | 6841aa8075672 |
| 12 | 2468a59555360 |
| 13 | bac247c25c52 |
| 14 | 5351ad222560 |
| 15 | 26c0494cc2c9 |
| hex | 134d056684b8 |
21221524014264 has 192 divisors, whose sum is σ = 66672531744000. Its totient is φ = 5972215214592.
The previous prime is 21221524014227. The next prime is 21221524014269. The reversal of 21221524014264 is 46241042512212.
21221524014264 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 152 + 401 + 42 + 64 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21221524014269) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442303044 + ... + 442351020.
It is an arithmetic number, because the mean of its divisors is an integer number (347252769500).
Almost surely, 221221524014264 is an apocalyptic number.
21221524014264 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 21221524014264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33336265872000).
21221524014264 is an abundant number, since it is smaller than the sum of its proper divisors (45451007729736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21221524014264 is a wasteful number, since it uses less digits than its factorization.
21221524014264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61162 (or 61155 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
Adding to 21221524014264 its reverse (46241042512212), we get a palindrome (67462566526476).
The spelling of 21221524014264 in words is "twenty-one trillion, two hundred twenty-one billion, five hundred twenty-four million, fourteen thousand, two hundred sixty-four".
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