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4844814336 = 21733372
BaseRepresentation
bin1001000001100011…
…00000000000000000
3110111122101001212000
410200301200000000
534410233024321
62120425104000
7231026146065
oct44061400000
913448331760
104844814336
11206685379a
12b32628000
135c296555b
1433d626c6c
151d5500826
hex120c60000

4844814336 has 216 divisors, whose sum is σ = 14753408040. Its totient is φ = 1571291136.

The previous prime is 4844814329. The next prime is 4844814341. The reversal of 4844814336 is 6334184484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×48448143362 = 46944451900622241792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4844814291 and 4844814300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130940910 + ... + 130940946.

It is an arithmetic number, because the mean of its divisors is an integer number (68302815).

Almost surely, 24844814336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4844814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376704020).

4844814336 is an abundant number, since it is smaller than the sum of its proper divisors (9908593704).

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

4844814336 is an frugal number, since it uses more digits than its factorization.

4844814336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 42 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4844814336 is about 69604.7005309268. The cubic root of 4844814336 is about 1692.0987820201.

4844814336 divided by its product of digits (884736) gives a square (5476 = 742).

The spelling of 4844814336 in words is "four billion, eight hundred forty-four million, eight hundred fourteen thousand, three hundred thirty-six".