| Base | Representation |
|---|---|
| bin | 1111010000011011… |
| … | …1101000100000000 |
| 3 | 101120102100010000000 |
| 4 | 3310012331010000 |
| 5 | 31341414314210 |
| 6 | 1514220000000 |
| 7 | 203326603230 |
| oct | 36406750400 |
| 9 | 11512303000 |
| 10 | 4095463680 |
| 11 | 1811867530 |
| 12 | 963690000 |
| 13 | 5036374b9 |
| 14 | 2abcc3cc0 |
| 15 | 18e830ac0 |
| hex | f41bd100 |
4095463680 has 1152 divisors, whose sum is σ = 19308441600. Its totient is φ = 806215680.
The previous prime is 4095463657. The next prime is 4095463681. The reversal of 4095463680 is 863645904.
4095463680 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 4 + 636 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4095463681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215550711 + ... + 215550729.
It is an arithmetic number, because the mean of its divisors is an integer number (16760800).
Almost surely, 24095463680 is an apocalyptic number.
4095463680 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 4095463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9654220800).
4095463680 is an abundant number, since it is smaller than the sum of its proper divisors (15212977920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4095463680 is an equidigital number, since it uses as much as digits as its factorization.
4095463680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 622080, while the sum is 45.
The square root of 4095463680 is about 63995.8098628340. The cubic root of 4095463680 is about 1599.9301636185.
The spelling of 4095463680 in words is "four billion, ninety-five million, four hundred sixty-three thousand, six hundred eighty".
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