Search a number
-
+
44481295872 = 29321317311409
BaseRepresentation
bin101001011011010010…
…101011011000000000
311020210222101221202200
4221123102223120000
51212044202431442
632233500313200
73133200530226
oct513322533000
9136728357680
1044481295872
1117956593a52
128754842800
13426b60a720
14221d808b16
15125512d34c
hexa5b4ab600

44481295872 has 480 divisors, whose sum is σ = 151212821760. Its totient is φ = 12457082880.

The previous prime is 44481295867. The next prime is 44481295891. The reversal of 44481295872 is 27859218444.

44481295872 is a `hidden beast` number, since 4 + 4 + 48 + 12 + 9 + 587 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31568704 + ... + 31570112.

It is an arithmetic number, because the mean of its divisors is an integer number (315026712).

Almost surely, 244481295872 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 44481295872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75606410880).

44481295872 is an abundant number, since it is smaller than the sum of its proper divisors (106731525888).

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

44481295872 is a wasteful number, since it uses less digits than its factorization.

44481295872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1475 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 44481295872 in words is "forty-four billion, four hundred eighty-one million, two hundred ninety-five thousand, eight hundred seventy-two".