| Base | Representation |
|---|---|
| bin | 11101101111100000010… |
| … | …10110010011001100000 |
| 3 | 10121200210112000121200000 |
| 4 | 32313300022302121200 |
| 5 | 113220411232440424 |
| 6 | 2101245440100000 |
| 7 | 133555353564633 |
| oct | 16676012623140 |
| 9 | 3550715017600 |
| 10 | 1021936608864 |
| 11 | 364445634906 |
| 12 | 146084604600 |
| 13 | 754a2c54182 |
| 14 | 37667a05c1a |
| 15 | 1b8b25223c9 |
| hex | edf02b2660 |
1021936608864 has 288 divisors, whose sum is σ = 3095846417664. Its totient is φ = 331429916160.
The previous prime is 1021936608817. The next prime is 1021936608893. The reversal of 1021936608864 is 4688066391201.
1021936608864 is a `hidden beast` number, since 1 + 0 + 21 + 9 + 3 + 6 + 608 + 8 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 1021936608864.
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 47 ways as a sum of consecutive naturals, for example, 87932974 + ... + 87944594.
It is an arithmetic number, because the mean of its divisors is an integer number (10749466728).
Almost surely, 21021936608864 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 1021936608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547923208832).
1021936608864 is an abundant number, since it is smaller than the sum of its proper divisors (2073909808800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1021936608864 is a wasteful number, since it uses less digits than its factorization.
1021936608864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11952 (or 11932 counting only the distinct ones).
The product of its (nonzero) digits is 2985984, while the sum is 54.
The spelling of 1021936608864 in words is "one trillion, twenty-one billion, nine hundred thirty-six million, six hundred eight thousand, eight hundred sixty-four".
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