| Base | Representation |
|---|---|
| bin | 110110101001110010111011… |
| … | …0010110011001010001100000 |
| 3 | 2100001010122212211002002021000 |
| 4 | 1231103211312112121101200 |
| 5 | 1001002313430243244120 |
| 6 | 4422233511015232000 |
| 7 | 203154561210506340 |
| oct | 15523456626312140 |
| 9 | 2301118784062230 |
| 10 | 480733380056160 |
| 11 | 12a1a3977391700 |
| 12 | 45b01424378600 |
| 13 | 17831c6a27410a |
| 14 | 869d896806d20 |
| 15 | 3a89ea2361990 |
| hex | 1b53976599460 |
480733380056160 has 1152 divisors, whose sum is σ = 2122952518149120. Its totient is φ = 99452422840320.
The previous prime is 480733380056129. The next prime is 480733380056173. The reversal of 480733380056160 is 61650083337084.
480733380056160 is a `hidden beast` number, since 4 + 8 + 0 + 73 + 3 + 3 + 8 + 0 + 0 + 561 + 6 + 0 = 666.
It is a super-3 number, since 3×4807333800561603 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 480733380056097 and 480733380056106.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 830312692 + ... + 830891468.
It is an arithmetic number, because the mean of its divisors is an integer number (1842840727560).
Almost surely, 2480733380056160 is an apocalyptic number.
480733380056160 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 480733380056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061476259074560).
480733380056160 is an abundant number, since it is smaller than the sum of its proper divisors (1642219138092960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480733380056160 is a wasteful number, since it uses less digits than its factorization.
480733380056160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 579057 (or 579032 counting only the distinct ones).
The product of its (nonzero) digits is 8709120, while the sum is 54.
The spelling of 480733380056160 in words is "four hundred eighty trillion, seven hundred thirty-three billion, three hundred eighty million, fifty-six thousand, one hundred sixty".
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