Search a number
-
+
44485684704 = 2534591911523
BaseRepresentation
bin101001011011100011…
…011010110111100000
311020211021122221010000
4221123203122313200
51212101313402304
632234134340000
73133253036526
oct513343326740
9136737587100
1044485684704
111795901138a
1287561ba600
13426c4b6276
14222022c316
1512556e8939
hexa5b8dade0

44485684704 has 240 divisors, whose sum is σ = 133833047040. Its totient is φ = 14491388160.

The previous prime is 44485684703. The next prime is 44485684721. The reversal of 44485684704 is 40748658444.

44485684704 is a `hidden beast` number, since 4 + 4 + 4 + 8 + 568 + 4 + 70 + 4 = 666.

It is a super-2 number, since 2×444856847042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44485684703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29208487 + ... + 29210009.

It is an arithmetic number, because the mean of its divisors is an integer number (557637696).

Almost surely, 244485684704 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 44485684704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66916523520).

44485684704 is an abundant number, since it is smaller than the sum of its proper divisors (89347362336).

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

44485684704 is a wasteful number, since it uses less digits than its factorization.

44485684704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 44485684704 in words is "forty-four billion, four hundred eighty-five million, six hundred eighty-four thousand, seven hundred four".