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44527491072 = 21135131683
BaseRepresentation
bin101001011110000010…
…111001100000000000
311020221012022220200000
4221132002321200000
51212143014203242
632242230400000
73134301300141
oct513602714000
9136835286600
1044527491072
111797a6760a9
128768200000
13427806306c
1422259d1ac8
151259205a4c
hexa5e0b9800

44527491072 has 288 divisors, whose sum is σ = 134581487040. Its totient is φ = 14707630080.

The previous prime is 44527491067. The next prime is 44527491103. The reversal of 44527491072 is 27019472544.

44527491072 is a `hidden beast` number, since 4 + 4 + 527 + 49 + 10 + 72 = 666.

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

It is a super-2 number, since 2×445274910722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 65193643 + ... + 65194325.

It is an arithmetic number, because the mean of its divisors is an integer number (467296830).

Almost surely, 244527491072 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 44527491072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67290743520).

44527491072 is an abundant number, since it is smaller than the sum of its proper divisors (90053995968).

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

44527491072 is an equidigital number, since it uses as much as digits as its factorization.

44527491072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 44527491072 in words is "forty-four billion, five hundred twenty-seven million, four hundred ninety-one thousand, seventy-two".