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44125053696 = 283361229457
BaseRepresentation
bin101001000110000011…
…101110001100000000
311012220011001222101000
4221012003232030000
51210332003204241
632134253012000
73121313524263
oct510603561400
9135804058330
1044125053696
1117793495a29
128675484000
13421287a239
1421c8394cda
151233c0eeb6
hexa460ee300

44125053696 has 288 divisors, whose sum is σ = 133495275200. Its totient is φ = 14372536320.

The previous prime is 44125053691. The next prime is 44125053719. The reversal of 44125053696 is 69635052144.

44125053696 is a `hidden beast` number, since 4 + 4 + 1 + 25 + 0 + 536 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (44125053691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96553500 + ... + 96553956.

Almost surely, 244125053696 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 44125053696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66747637600).

44125053696 is an abundant number, since it is smaller than the sum of its proper divisors (89370221504).

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

44125053696 is a wasteful number, since it uses less digits than its factorization.

44125053696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 44125053696 in words is "forty-four billion, one hundred twenty-five million, fifty-three thousand, six hundred ninety-six".