| Base | Representation |
|---|---|
| bin | 1000101001111001… |
| … | …10010010110000000 |
| 3 | 102222211002221021210 |
| 4 | 10110330302112000 |
| 5 | 34003442241324 |
| 6 | 2045021250120 |
| 7 | 223100100102 |
| oct | 42474622600 |
| 9 | 12884087253 |
| 10 | 4646446464 |
| 11 | 1a74886000 |
| 12 | a98103940 |
| 13 | 59083010a |
| 14 | 32114b572 |
| 15 | 1c2db9d29 |
| hex | 114f32580 |
4646446464 has 128 divisors (see below), whose sum is σ = 13576901760. Its totient is φ = 1407859200.
The previous prime is 4646446463. The next prime is 4646446487.
4646446464 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4646446463) 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 15 ways as a sum of consecutive naturals, for example, 506559 + ... + 515649.
It is an arithmetic number, because the mean of its divisors is an integer number (106069545).
Almost surely, 24646446464 is an apocalyptic number.
4646446464 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 4646446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788450880).
4646446464 is an abundant number, since it is smaller than the sum of its proper divisors (8930455296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4646446464 is an equidigital number, since it uses as much as digits as its factorization.
4646446464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9141 (or 9107 counting only the distinct ones).
The product of its digits is 5308416, while the sum is 48.
The square root of 4646446464 is about 68164.8477149330. The cubic root of 4646446464 is about 1668.6822482670.
The spelling of 4646446464 in words is "four billion, six hundred forty-six million, four hundred forty-six thousand, four hundred sixty-four".
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