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44552345472 = 27321911318013
BaseRepresentation
bin101001011111100001…
…101101011110000000
311020222221002122111100
4221133201231132000
51212220400023342
632244515214400
73135022455015
oct513741553600
9136887078440
1044552345472
1117992701628
1287745a7400
134280255bcb
14222902170c
15125b4b4e4c
hexa5f86d780

44552345472 has 192 divisors, whose sum is σ = 136153414800. Its totient is φ = 13943881728.

The previous prime is 44552345471. The next prime is 44552345479. The reversal of 44552345472 is 27454325544.

44552345472 is a `hidden beast` number, since 4 + 4 + 5 + 523 + 4 + 54 + 72 = 666.

44552345472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×445523454722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44552345471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2464338 + ... + 2482350.

Almost surely, 244552345472 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 44552345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68076707400).

44552345472 is an abundant number, since it is smaller than the sum of its proper divisors (91601069328).

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

44552345472 is a wasteful number, since it uses less digits than its factorization.

44552345472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18165 (or 18150 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 45.

The spelling of 44552345472 in words is "forty-four billion, five hundred fifty-two million, three hundred forty-five thousand, four hundred seventy-two".