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44349327360 = 21136513457
BaseRepresentation
bin101001010011011011…
…010000100000000000
311020110210002021000000
4221103123100200000
51211311411433420
632212424000000
73130006030332
oct512333204000
9136423067000
1044349327360
1117899048068
128718600000
13424a182c50
14220a095452
151248761690
hexa536d0800

44349327360 has 672 divisors, whose sum is σ = 172194324120. Its totient is φ = 10892869632.

The previous prime is 44349327359. The next prime is 44349327377. The reversal of 44349327360 is 6372394344.

44349327360 is a `hidden beast` number, since 4 + 434 + 93 + 2 + 73 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35802694656 + 8546632704 = 189216^2 + 92448^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 97044252 + ... + 97044708.

Almost surely, 244349327360 is an apocalyptic number.

44349327360 is a gapful number since it is divisible by the number (40) 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 44349327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86097162060).

44349327360 is an abundant number, since it is smaller than the sum of its proper divisors (127844996760).

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

44349327360 is an equidigital number, since it uses as much as digits as its factorization.

44349327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 44349327360 in words is "forty-four billion, three hundred forty-nine million, three hundred twenty-seven thousand, three hundred sixty".