| Base | Representation |
|---|---|
| bin | 1101111111110101111… |
| … | …11111110000000000000 |
| 3 | 1200222102101212120000000 |
| 4 | 12333322333332000000 |
| 5 | 30334442311133010 |
| 6 | 1004540240000000 |
| 7 | 46514310212010 |
| oct | 6777277760000 |
| 9 | 1628371776000 |
| 10 | 480952442880 |
| 11 | 175a7512a958 |
| 12 | 79266000000 |
| 13 | 36479b9bb10 |
| 14 | 193c7629c40 |
| 15 | c79d8027c0 |
| hex | 6ffaffe000 |
480952442880 has 1792 divisors, whose sum is σ = 2166645196800. Its totient is φ = 99755753472.
The previous prime is 480952442869. The next prime is 480952442891. The reversal of 480952442880 is 88244259084.
It is an interprime number because it is at equal distance from previous prime (480952442869) and next prime (480952442891).
It is a tau number, because it is divible by the number of its divisors (1792).
It is a super-3 number, since 3×4809524428803 (a number of 36 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 (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8151736291 + ... + 8151736349.
It is an arithmetic number, because the mean of its divisors is an integer number (1209065400).
Almost surely, 2480952442880 is an apocalyptic number.
480952442880 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 480952442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083322598400).
480952442880 is an abundant number, since it is smaller than the sum of its proper divisors (1685692753920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480952442880 is an frugal number, since it uses more digits than its factorization.
480952442880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 5898240, while the sum is 54.
The spelling of 480952442880 in words is "four hundred eighty billion, nine hundred fifty-two million, four hundred forty-two thousand, eight hundred eighty".
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