| Base | Representation |
|---|---|
| bin | 1101001010011101101010… |
| … | …00000000000010000000000 |
| 3 | 10210111021210202010200222000 |
| 4 | 12211032311000000100000 |
| 5 | 12243231042222103424 |
| 6 | 141321553000144000 |
| 7 | 6045224134124310 |
| oct | 645166500002000 |
| 9 | 123437722120860 |
| 10 | 28946821284864 |
| 11 | 9250306a7840a |
| 12 | 32b6107a68000 |
| 13 | 131c89a9a8382 |
| 14 | 7210683a9440 |
| 15 | 352e8eac63c9 |
| hex | 1a53b5000400 |
28946821284864 has 1408 divisors, whose sum is σ = 106761668198400. Its totient is φ = 7566509998080.
The previous prime is 28946821284853. The next prime is 28946821284907. The reversal of 28946821284864 is 46848212864982.
28946821284864 is a `hidden beast` number, since 2 + 8 + 9 + 46 + 82 + 1 + 28 + 486 + 4 = 666.
It is a super-3 number, since 3×289468212848643 (a number of 41 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 28946821284792 and 28946821284801.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12281212774 + ... + 12281215130.
Almost surely, 228946821284864 is an apocalyptic number.
28946821284864 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 28946821284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53380834099200).
28946821284864 is an abundant number, since it is smaller than the sum of its proper divisors (77814846913536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28946821284864 is a wasteful number, since it uses less digits than its factorization.
28946821284864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2536 (or 2512 counting only the distinct ones).
The product of its digits is 679477248, while the sum is 72.
The spelling of 28946821284864 in words is "twenty-eight trillion, nine hundred forty-six billion, eight hundred twenty-one million, two hundred eighty-four thousand, eight hundred sixty-four".
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