| Base | Representation |
|---|---|
| bin | 111100000101111010111001… |
| … | …011001110000111110000000 |
| 3 | 1021122202211201121010210000000 |
| 4 | 330011322321121300332000 |
| 5 | 234120110124300144300 |
| 6 | 2334032551250000000 |
| 7 | 106445203235051340 |
| oct | 7405727131607600 |
| 9 | 1248684647123000 |
| 10 | 264289628131200 |
| 11 | 77235669077821 |
| 12 | 25785125876000 |
| 13 | b461535a05109 |
| 14 | 4939987118d20 |
| 15 | 2084ba6944c00 |
| hex | f05eb9670f80 |
264289628131200 has 6144 divisors, whose sum is σ = 1268857073664000. Its totient is φ = 52973744947200.
The previous prime is 264289628131163. The next prime is 264289628131201. The reversal of 264289628131200 is 2131826982462.
264289628131200 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 8 + 9 + 628 + 1 + 3 + 1 + 2 + 0 + 0 = 666.
264289628131200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (264289628131201) by changing a digit.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 748695830224 + ... + 748695830576.
It is an arithmetic number, because the mean of its divisors is an integer number (206519706000).
Almost surely, 2264289628131200 is an apocalyptic number.
264289628131200 is a gapful number since it is divisible by the number (20) 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 264289628131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634428536832000).
264289628131200 is an abundant number, since it is smaller than the sum of its proper divisors (1004567445532800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264289628131200 is a wasteful number, since it uses less digits than its factorization.
264289628131200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 482 (or 447 counting only the distinct ones).
The product of its (nonzero) digits is 3981312, while the sum is 54.
The spelling of 264289628131200 in words is "two hundred sixty-four trillion, two hundred eighty-nine billion, six hundred twenty-eight million, one hundred thirty-one thousand, two hundred".
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