Search a number
-
+
44875681728 = 26317531491741
BaseRepresentation
bin101001110010110011…
…001000111111000000
311021211110111211110020
4221302303020333000
51213401133303403
632340545333440
73146030000223
oct516263107700
9137743454406
1044875681728
1118039174979
128844937280
134302234837
142259d4b5ba
151279a83453
hexa72cc8fc0

44875681728 has 224 divisors, whose sum is σ = 129023668800. Its totient is φ = 13712424960.

The previous prime is 44875681679. The next prime is 44875681759. The reversal of 44875681728 is 82718657844.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25774938 + ... + 25776678.

Almost surely, 244875681728 is an apocalyptic number.

44875681728 is a gapful number since it is divisible by the number (48) 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 44875681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64511834400).

44875681728 is an abundant number, since it is smaller than the sum of its proper divisors (84147987072).

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

44875681728 is a wasteful number, since it uses less digits than its factorization.

44875681728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1965 counting only the distinct ones).

The product of its digits is 24084480, while the sum is 60.

The spelling of 44875681728 in words is "forty-four billion, eight hundred seventy-five million, six hundred eighty-one thousand, seven hundred twenty-eight".