| Base | Representation |
|---|---|
| bin | 100110010101011… |
| … | …001010011100000 |
| 3 | 1122211012001011200 |
| 4 | 212111121103200 |
| 5 | 2304121033010 |
| 6 | 143452441200 |
| 7 | 21636424062 |
| oct | 4625312340 |
| 9 | 1584161150 |
| 10 | 643142880 |
| 11 | 300045846 |
| 12 | 15b479200 |
| 13 | a3322b23 |
| 14 | 615b7732 |
| 15 | 3b6e0cc0 |
| hex | 265594e0 |
643142880 has 144 divisors (see below), whose sum is σ = 2254228704. Its totient is φ = 166855680.
The previous prime is 643142879. The next prime is 643142881. The reversal of 643142880 is 88241346.
643142880 is a `hidden beast` number, since 64 + 314 + 288 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (643142879) and next prime (643142881).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (643142881) 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 23 ways as a sum of consecutive naturals, for example, 47245 + ... + 59315.
It is an arithmetic number, because the mean of its divisors is an integer number (15654366).
Almost surely, 2643142880 is an apocalyptic number.
643142880 is a gapful number since it is divisible by the number (60) 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 643142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127114352).
643142880 is an abundant number, since it is smaller than the sum of its proper divisors (1611085824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
643142880 is a wasteful number, since it uses less digits than its factorization.
643142880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12129 (or 12118 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 643142880 is about 25360.2618283014. The cubic root of 643142880 is about 863.1822251927.
The spelling of 643142880 in words is "six hundred forty-three million, one hundred forty-two thousand, eight hundred eighty".
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