| Base | Representation |
|---|---|
| bin | 1101010100110101100… |
| … | …01100100001100000000 |
| 3 | 1121202211021102101210000 |
| 4 | 12222122301210030000 |
| 5 | 30000200440433140 |
| 6 | 550201153440000 |
| 7 | 45036164065233 |
| oct | 6523261441400 |
| 9 | 1552737371700 |
| 10 | 457863217920 |
| 11 | 1671a6939459 |
| 12 | 748a1570000 |
| 13 | 3423a49c724 |
| 14 | 18236d5341a |
| 15 | bd9b76aa30 |
| hex | 6a9ac64300 |
457863217920 has 720 divisors, whose sum is σ = 1688401804320. Its totient is φ = 118420144128.
The previous prime is 457863217909. The next prime is 457863217927. The reversal of 457863217920 is 29712368754.
It is a happy number.
457863217920 is a `hidden beast` number, since 4 + 578 + 6 + 32 + 17 + 9 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (457863217927) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 533018451 + ... + 533019309.
It is an arithmetic number, because the mean of its divisors is an integer number (2345002506).
It is a 2-persistent number, because it is pandigital, and so is 2⋅457863217920 = 915726435840, but 3⋅457863217920 = 1373589653760 is not.
Almost surely, 2457863217920 is an apocalyptic number.
457863217920 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 457863217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844200902160).
457863217920 is an abundant number, since it is smaller than the sum of its proper divisors (1230538586400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
457863217920 is an equidigital number, since it uses as much as digits as its factorization.
457863217920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1042 (or 1019 counting only the distinct ones).
The product of its (nonzero) digits is 5080320, while the sum is 54.
The spelling of 457863217920 in words is "four hundred fifty-seven billion, eight hundred sixty-three million, two hundred seventeen thousand, nine hundred twenty".
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