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944382489696 = 25331817977577
BaseRepresentation
bin11011011111000011001…
…01010011010001100000
310100021121122021011102000
431233201211103101200
5110433043404132241
62001502054124000
7125141451500142
oct15574145232140
93307548234360
10944382489696
11334568328248
1213303b950600
136b093780529
14339cba30c92
1519873b3deb6
hexdbe1953460

944382489696 has 192 divisors, whose sum is σ = 2773507988160. Its totient is φ = 312620912640.

The previous prime is 944382489689. The next prime is 944382489719. The reversal of 944382489696 is 696984283449.

944382489696 is a `hidden beast` number, since 9 + 4 + 4 + 3 + 82 + 489 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 124634260 + ... + 124641836.

It is an arithmetic number, because the mean of its divisors is an integer number (14445354105).

Almost surely, 2944382489696 is an apocalyptic number.

944382489696 is a gapful number since it is divisible by the number (96) 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 944382489696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386753994080).

944382489696 is an abundant number, since it is smaller than the sum of its proper divisors (1829125498464).

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

944382489696 is a wasteful number, since it uses less digits than its factorization.

944382489696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 8560 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 944382489696 in words is "nine hundred forty-four billion, three hundred eighty-two million, four hundred eighty-nine thousand, six hundred ninety-six".