| Base | Representation |
|---|---|
| bin | 1111011000010010101010… |
| … | …11110010010011000000000 |
| 3 | 11102202011100101211212001000 |
| 4 | 13230021111132102120000 |
| 5 | 13413101333130213043 |
| 6 | 155532410235412000 |
| 7 | 10060262201000316 |
| oct | 754112536223000 |
| 9 | 142664311755030 |
| 10 | 33820006491648 |
| 11 | a859a90a84843 |
| 12 | 39626638b4000 |
| 13 | 15b429ca57150 |
| 14 | 84cc7b7000b6 |
| 15 | 3d9b08e0e2d3 |
| hex | 1ec255792600 |
33820006491648 has 640 divisors, whose sum is σ = 110907895190400. Its totient is φ = 10108105261056.
The previous prime is 33820006491647. The next prime is 33820006491653. The reversal of 33820006491648 is 84619460002833.
33820006491648 is a `hidden beast` number, since 33 + 82 + 0 + 0 + 0 + 6 + 491 + 6 + 48 = 666.
It is a super-2 number, since 2×338200064916482 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 33820006491594 and 33820006491603.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33820006491647) 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 63 ways as a sum of consecutive naturals, for example, 4342017738 + ... + 4342025526.
It is an arithmetic number, because the mean of its divisors is an integer number (173293586235).
Almost surely, 233820006491648 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33820006491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55453947595200).
33820006491648 is an abundant number, since it is smaller than the sum of its proper divisors (77087888698752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33820006491648 is a wasteful number, since it uses less digits than its factorization.
33820006491648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8519 (or 8497 counting only the distinct ones).
The product of its (nonzero) digits is 5971968, while the sum is 54.
The spelling of 33820006491648 in words is "thirty-three trillion, eight hundred twenty billion, six million, four hundred ninety-one thousand, six hundred forty-eight".
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