| Base | Representation |
|---|---|
| bin | 1101100001011101011… |
| … | …01000111010110000000 |
| 3 | 1122102022120012221212210 |
| 4 | 12300232231013112000 |
| 5 | 30103040322441324 |
| 6 | 553241440422120 |
| 7 | 45366133141656 |
| oct | 6605655072600 |
| 9 | 1572276187783 |
| 10 | 464640046464 |
| 11 | 16a064214000 |
| 12 | 76073017940 |
| 13 | 34a7a497549 |
| 14 | 186badb8dd6 |
| 15 | c14669ed29 |
| hex | 6c2eb47580 |
464640046464 has 128 divisors (see below), whose sum is σ = 1357528901760. Its totient is φ = 140799859200.
The previous prime is 464640046459. The next prime is 464640046469.
464640046464 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (464640046459) and next prime (464640046469).
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (464640046469) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56559 + ... + 965649.
It is an arithmetic number, because the mean of its divisors is an integer number (10605694545).
Almost surely, 2464640046464 is an apocalyptic number.
464640046464 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 464640046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678764450880).
464640046464 is an abundant number, since it is smaller than the sum of its proper divisors (892888855296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
464640046464 is an equidigital number, since it uses as much as digits as its factorization.
464640046464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 909141 (or 909107 counting only the distinct ones).
The product of its (nonzero) digits is 5308416, while the sum is 48.
It can be divided in two parts, 4646400 and 46464, that multiplied together give a square (215890329600 = 4646402).
The spelling of 464640046464 in words is "four hundred sixty-four billion, six hundred forty million, forty-six thousand, four hundred sixty-four".
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