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45023424160 = 255111312231609
BaseRepresentation
bin101001111011100110…
…101110111010100000
311022012202111220222011
4221323212232322200
51214201444033120
632403344122304
73152502535201
oct517346567240
9138182456864
1045023424160
1118104604a60
128886306394
134326a22cb0
1422718095a8
151287a18c5a
hexa7b9aeea0

45023424160 has 192 divisors, whose sum is σ = 125143522560. Its totient is φ = 15091015680.

The previous prime is 45023424113. The next prime is 45023424179. The reversal of 45023424160 is 6142432054.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27981436 + ... + 27983044.

It is an arithmetic number, because the mean of its divisors is an integer number (651789180).

Almost surely, 245023424160 is an apocalyptic number.

45023424160 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 45023424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62571761280).

45023424160 is an abundant number, since it is smaller than the sum of its proper divisors (80120098400).

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

45023424160 is a wasteful number, since it uses less digits than its factorization.

45023424160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 45023424160 in words is "forty-five billion, twenty-three million, four hundred twenty-four thousand, one hundred sixty".