| Base | Representation |
|---|---|
| bin | 1101100000101100110… |
| … | …01011011011000010000 |
| 3 | 1122101021010211212020120 |
| 4 | 12300112121123120100 |
| 5 | 30101221422414324 |
| 6 | 553133151510240 |
| 7 | 45353051603610 |
| oct | 6602631333020 |
| 9 | 1571233755216 |
| 10 | 464232232464 |
| 11 | 169974aa1340 |
| 12 | 75b7a528380 |
| 13 | 34a13b4b3a0 |
| 14 | 1867cb7ca40 |
| 15 | c120996179 |
| hex | 6c1665b610 |
464232232464 has 640 divisors, whose sum is σ = 1672572948480. Its totient is φ = 107025408000.
The previous prime is 464232232351. The next prime is 464232232469.
464232232464 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4642322324642 (a number of 24 digits) 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 not an unprimeable number, because it can be changed into a prime (464232232469) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 441704739 + ... + 441705789.
It is an arithmetic number, because the mean of its divisors is an integer number (2613395232).
Almost surely, 2464232232464 is an apocalyptic number.
464232232464 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 464232232464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836286474240).
464232232464 is an abundant number, since it is smaller than the sum of its proper divisors (1208340716016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
464232232464 is a wasteful number, since it uses less digits than its factorization.
464232232464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1439 (or 1433 counting only the distinct ones).
The product of its digits is 1327104, while the sum is 42.
It can be divided in two parts, 464232 and 232464, that added together give a palindrome (696696).
The spelling of 464232232464 in words is "four hundred sixty-four billion, two hundred thirty-two million, two hundred thirty-two thousand, four hundred sixty-four".
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