| Base | Representation |
|---|---|
| bin | 1000111101111100… |
| … | …11010101110000000 |
| 3 | 110102112121100212120 |
| 4 | 10132332122232000 |
| 5 | 34330022134034 |
| 6 | 2113430324240 |
| 7 | 230211550140 |
| oct | 43676325600 |
| 9 | 13375540776 |
| 10 | 4814646144 |
| 11 | 2050818a00 |
| 12 | b244b9680 |
| 13 | 5b9631b59 |
| 14 | 339612920 |
| 15 | 1d2a41c49 |
| hex | 11ef9ab80 |
4814646144 has 384 divisors, whose sum is σ = 16331293440. Its totient is φ = 1230028800.
The previous prime is 4814646139. The next prime is 4814646169. The reversal of 4814646144 is 4416464184.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 4814646096 and 4814646105.
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 47 ways as a sum of consecutive naturals, for example, 36752959 + ... + 36753089.
It is an arithmetic number, because the mean of its divisors is an integer number (42529410).
Almost surely, 24814646144 is an apocalyptic number.
4814646144 is a gapful number since it is divisible by the number (44) 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 4814646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165646720).
4814646144 is an abundant number, since it is smaller than the sum of its proper divisors (11516647296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4814646144 is a wasteful number, since it uses less digits than its factorization.
4814646144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 290 (or 267 counting only the distinct ones).
The product of its digits is 294912, while the sum is 42.
The square root of 4814646144 is about 69387.6512356486. The cubic root of 4814646144 is about 1688.5792880111.
The spelling of 4814646144 in words is "four billion, eight hundred fourteen million, six hundred forty-six thousand, one hundred forty-four".
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