| Base | Representation |
|---|---|
| bin | 1000101001011000… |
| … | …10101111010000000 |
| 3 | 102222111222221000010 |
| 4 | 10110230111322000 |
| 5 | 34001341320210 |
| 6 | 2044345024520 |
| 7 | 223015334160 |
| oct | 42454257200 |
| 9 | 12874887003 |
| 10 | 4642135680 |
| 11 | 1a72401276 |
| 12 | a96785140 |
| 13 | 58c980c60 |
| 14 | 3207485a0 |
| 15 | 1c2817920 |
| hex | 114b15e80 |
4642135680 has 384 divisors, whose sum is σ = 18323867520. Its totient is φ = 973430784.
The previous prime is 4642135679. The next prime is 4642135681. The reversal of 4642135680 is 865312464.
It is an interprime number because it is at equal distance from previous prime (4642135679) and next prime (4642135681).
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 (39).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4642135681) 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 47 ways as a sum of consecutive naturals, for example, 28479279 + ... + 28479441.
It is an arithmetic number, because the mean of its divisors is an integer number (47718405).
Almost surely, 24642135680 is an apocalyptic number.
4642135680 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 4642135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9161933760).
4642135680 is an abundant number, since it is smaller than the sum of its proper divisors (13681731840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4642135680 is a wasteful number, since it uses less digits than its factorization.
4642135680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 368 (or 193 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 39.
The square root of 4642135680 is about 68133.2200912301. The cubic root of 4642135680 is about 1668.1660434282.
The spelling of 4642135680 in words is "four billion, six hundred forty-two million, one hundred thirty-five thousand, six hundred eighty".
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