| Base | Representation |
|---|---|
| bin | 1000101001101001… |
| … | …01110101110000000 |
| 3 | 102222200010122011120 |
| 4 | 10110310232232000 |
| 5 | 34002422200324 |
| 6 | 2044504112240 |
| 7 | 223043122500 |
| oct | 42464565600 |
| 9 | 12880118146 |
| 10 | 4644334464 |
| 11 | 1a73673250 |
| 12 | a97465680 |
| 13 | 590270a03 |
| 14 | 320b5ba00 |
| 15 | 1c2aee179 |
| hex | 114d2eb80 |
4644334464 has 384 divisors, whose sum is σ = 16493155200. Its totient is φ = 1141862400.
The previous prime is 4644334451. The next prime is 4644334477.
4644334464 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (4644334451) and next prime (4644334477).
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×46443344642 = 43139685226996334592, which contains 22 as substring.
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 congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3931954 + ... + 3933134.
It is an arithmetic number, because the mean of its divisors is an integer number (42950925).
Almost surely, 24644334464 is an apocalyptic number.
4644334464 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 4644334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246577600).
4644334464 is an abundant number, since it is smaller than the sum of its proper divisors (11848820736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4644334464 is a wasteful number, since it uses less digits than its factorization.
4644334464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1242 (or 1223 counting only the distinct ones).
The product of its digits is 1327104, while the sum is 42.
The square root of 4644334464 is about 68149.3540981864. The cubic root of 4644334464 is about 1668.4293818350.
The spelling of 4644334464 in words is "four billion, six hundred forty-four million, three hundred thirty-four thousand, four hundred sixty-four".
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