Base | Representation |
---|---|
bin | 1000010100010011… |
… | …11001110101011100 |
3 | 102112012022112221122 |
4 | 10022021321311130 |
5 | 33121111220034 |
6 | 2015031350112 |
7 | 215440504160 |
oct | 41211716534 |
9 | 12465275848 |
10 | 4465335644 |
11 | 1991624840 |
12 | a47522338 |
13 | 56215a753 |
14 | 305084ca0 |
15 | 1b204262e |
hex | 10a279d5c |
4465335644 has 144 divisors (see below), whose sum is σ = 10398398976. Its totient is φ = 1626768000.
The previous prime is 4465335631. The next prime is 4465335647.
4465335644 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (44).
It is a junction number, because it is equal to n+sod(n) for n = 4465335595 and 4465335604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4465335647) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44211194 + ... + 44211294.
It is an arithmetic number, because the mean of its divisors is an integer number (72211104).
Almost surely, 24465335644 is an apocalyptic number.
4465335644 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 4465335644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199199488).
4465335644 is an abundant number, since it is smaller than the sum of its proper divisors (5933063332).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4465335644 is a wasteful number, since it uses less digits than its factorization.
4465335644 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 304 (or 223 counting only the distinct ones).
The product of its digits is 2073600, while the sum is 44.
The square root of 4465335644 is about 66823.1669707445. The cubic root of 4465335644 is about 1646.7134634776.
The spelling of 4465335644 in words is "four billion, four hundred sixty-five million, three hundred thirty-five thousand, six hundred forty-four".
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