| Base | Representation |
|---|---|
| bin | 110110101001000100100010… |
| … | …0000001000001101111000000 |
| 3 | 2100000210010201112002020002000 |
| 4 | 1231102021010001001233000 |
| 5 | 1000444200410321033422 |
| 6 | 4422120032554224000 |
| 7 | 203144433262446000 |
| oct | 15522110401015700 |
| 9 | 2300703645066060 |
| 10 | 480633751346112 |
| 11 | 12a1656a15a2201 |
| 12 | 45aa605aa25000 |
| 13 | 17825750663190 |
| 14 | 8698b24bd6000 |
| 15 | 3a875c0a18cac |
| hex | 1b52244041bc0 |
480633751346112 has 3584 divisors, whose sum is σ = 1934864547840000. Its totient is φ = 115901526343680.
The previous prime is 480633751346029. The next prime is 480633751346159. The reversal of 480633751346112 is 211643157336084.
480633751346112 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 3 + 3 + 7 + 5 + 13 + 4 + 611 + 2 = 666.
It is a super-3 number, since 3×4806337513461123 (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 a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 488945829973 + ... + 488945830955.
It is an arithmetic number, because the mean of its divisors is an integer number (539861760000).
Almost surely, 2480633751346112 is an apocalyptic number.
480633751346112 is a gapful number since it is divisible by the number (42) 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 480633751346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967432273920000).
480633751346112 is an abundant number, since it is smaller than the sum of its proper divisors (1454230796493888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480633751346112 is a wasteful number, since it uses less digits than its factorization.
480633751346112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1181 (or 1151 counting only the distinct ones).
The product of its (nonzero) digits is 8709120, while the sum is 54.
The spelling of 480633751346112 in words is "four hundred eighty trillion, six hundred thirty-three billion, seven hundred fifty-one million, three hundred forty-six thousand, one hundred twelve".
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