| Base | Representation |
|---|---|
| bin | 110110101010111000110110… |
| … | …1111101001000101000000000 |
| 3 | 2100001200000112022220202200000 |
| 4 | 1231111301231331020220000 |
| 5 | 1001012244014121301000 |
| 6 | 4422430505322400000 |
| 7 | 203201455661206434 |
| oct | 15525615575105000 |
| 9 | 2301600468822600 |
| 10 | 480883563072000 |
| 11 | 12a251634822310 |
| 12 | 45b26558360000 |
| 13 | 1784318271206a |
| 14 | 86a6c625d89c4 |
| 15 | 3a8dd42043000 |
| hex | 1b55c6df48a00 |
480883563072000 has 7680 divisors, whose sum is σ = 2202829779870720. Its totient is φ = 103195607040000.
The previous prime is 480883563071893. The next prime is 480883563072049. The reversal of 480883563072000 is 270365388084.
480883563072000 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 8 + 3 + 563 + 0 + 72 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (7680).
It is a super-3 number, since 3×4808835630720003 (a number of 45 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4411775807946 + ... + 4411775808054.
It is an arithmetic number, because the mean of its divisors is an integer number (286826794254).
Almost surely, 2480883563072000 is an apocalyptic number.
480883563072000 is a gapful number since it is divisible by the number (40) 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 480883563072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101414889935360).
480883563072000 is an abundant number, since it is smaller than the sum of its proper divisors (1721946216798720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480883563072000 is a wasteful number, since it uses less digits than its factorization.
480883563072000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 263 (or 225 counting only the distinct ones).
The product of its (nonzero) digits is 7741440, while the sum is 54.
The spelling of 480883563072000 in words is "four hundred eighty trillion, eight hundred eighty-three billion, five hundred sixty-three million, seventy-two thousand".
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