| Base | Representation |
|---|---|
| bin | 1100110101111110010000… |
| … | …11010011100100000000000 |
| 3 | 10200222222112100211221111000 |
| 4 | 12122333020122130200000 |
| 5 | 12200212144210100010 |
| 6 | 140022314524052000 |
| 7 | 5643321140652000 |
| oct | 632771032344000 |
| 9 | 120888470757430 |
| 10 | 28242772346880 |
| 11 | 8aa976877a783 |
| 12 | 320177b394000 |
| 13 | 129b388743b50 |
| 14 | 6d8d59452000 |
| 15 | 33e9d532d7c0 |
| hex | 19afc869c800 |
28242772346880 has 3072 divisors, whose sum is σ = 130327142400000. Its totient is φ = 5758888181760.
The previous prime is 28242772346857. The next prime is 28242772346881. The reversal of 28242772346880 is 8864327724282.
It is a happy number.
28242772346880 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 2 + 77 + 23 + 468 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (3072).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (28242772346881) 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 255 ways as a sum of consecutive naturals, for example, 38217553551 + ... + 38217554289.
It is an arithmetic number, because the mean of its divisors is an integer number (42424200000).
Almost surely, 228242772346880 is an apocalyptic number.
28242772346880 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 28242772346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65163571200000).
28242772346880 is an abundant number, since it is smaller than the sum of its proper divisors (102084370053120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28242772346880 is a wasteful number, since it uses less digits than its factorization.
28242772346880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 840 (or 800 counting only the distinct ones).
The product of its (nonzero) digits is 115605504, while the sum is 63.
The spelling of 28242772346880 in words is "twenty-eight trillion, two hundred forty-two billion, seven hundred seventy-two million, three hundred forty-six thousand, eight hundred eighty".
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