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4464334644 = 2237114831531
BaseRepresentation
bin1000010100001100…
…00101011100110100
3102112010102200211120
410022012011130310
533120332202034
62014554103540
7215426134620
oct41206053464
912463380746
104464334644
111991000770
12a4711abb0
13561b99c43
14304ca4180
151b1de5c49
hex10a185734

4464334644 has 48 divisors (see below), whose sum is σ = 12987158016. Its totient is φ = 1159567200.

The previous prime is 4464334631. The next prime is 4464334669.

4464334644 is nontrivially palindromic in base 10.

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 junction number, because it is equal to n+sod(n) for n = 4464334596 and 4464334605.

It is a congruent number.

It is an unprimeable number.

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, 2414842 + ... + 2416689.

It is an arithmetic number, because the mean of its divisors is an integer number (270565792).

Almost surely, 24464334644 is an apocalyptic number.

4464334644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4464334644 is an abundant number, since it is smaller than the sum of its proper divisors (8522823372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4464334644 is a wasteful number, since it uses less digits than its factorization.

4464334644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831556 (or 4831554 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The square root of 4464334644 is about 66815.6766335566. The cubic root of 4464334644 is about 1646.5904056610.

The spelling of 4464334644 in words is "four billion, four hundred sixty-four million, three hundred thirty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 4831531 9663062 14494593 19326124 28989186 33820717 53146841 57978372 67641434 101462151 106293682 135282868 159440523 202924302 212587364 318881046 372027887 405848604 637762092 744055774 1116083661 1488111548 2232167322 4464334644