| Base | Representation |
|---|---|
| bin | 1101111110101001110… |
| … | …11111111001001100000 |
| 3 | 1200220202220021102120000 |
| 4 | 12333110323333021200 |
| 5 | 30332140322133200 |
| 6 | 1004353025020000 |
| 7 | 46462424326230 |
| oct | 6772473771140 |
| 9 | 1626686242500 |
| 10 | 480313864800 |
| 11 | 175777722780 |
| 12 | 79108184600 |
| 13 | 363a77b6973 |
| 14 | 193668bdcc0 |
| 15 | c762714300 |
| hex | 6fd4eff260 |
480313864800 has 720 divisors, whose sum is σ = 2183849724672. Its totient is φ = 99804441600.
The previous prime is 480313864787. The next prime is 480313864813. The reversal of 480313864800 is 8468313084.
480313864800 is a `hidden beast` number, since 4 + 80 + 3 + 13 + 86 + 480 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (480313864787) and next prime (480313864813).
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×4803138648002 (a number of 24 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4941469 + ... + 5037731.
Almost surely, 2480313864800 is an apocalyptic number.
480313864800 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 480313864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091924862336).
480313864800 is an abundant number, since it is smaller than the sum of its proper divisors (1703535859872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480313864800 is a wasteful number, since it uses less digits than its factorization.
480313864800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 96313 (or 96291 counting only the distinct ones).
The product of its (nonzero) digits is 442368, while the sum is 45.
The spelling of 480313864800 in words is "four hundred eighty billion, three hundred thirteen million, eight hundred sixty-four thousand, eight hundred".
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