| Base | Representation |
|---|---|
| bin | 1100011010001111011… |
| … | …1011000101010011000 |
| 3 | 202101022110022101112200 |
| 4 | 3012203313120222120 |
| 5 | 11443114331241043 |
| 6 | 241535515410200 |
| 7 | 21255234135630 |
| oct | 3064367305230 |
| 9 | 671273271480 |
| 10 | 213202602648 |
| 11 | 82467346a62 |
| 12 | 353a1153960 |
| 13 | 171496799a9 |
| 14 | a4677096c0 |
| 15 | 582c5967d3 |
| hex | 31a3dd8a98 |
213202602648 has 768 divisors, whose sum is σ = 735694202880. Its totient is φ = 54465675264.
The previous prime is 213202602637. The next prime is 213202602719. The reversal of 213202602648 is 846206202312.
213202602648 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 0 + 2 + 6 + 0 + 2 + 648 = 666.
213202602648 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2132026026482 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 1886748640 + ... + 1886748752.
It is an arithmetic number, because the mean of its divisors is an integer number (957935160).
Almost surely, 2213202602648 is an apocalyptic number.
213202602648 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 213202602648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367847101440).
213202602648 is an abundant number, since it is smaller than the sum of its proper divisors (522491600232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213202602648 is a wasteful number, since it uses less digits than its factorization.
213202602648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 328 (or 321 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The spelling of 213202602648 in words is "two hundred thirteen billion, two hundred two million, six hundred two thousand, six hundred forty-eight".
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