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44321175616 = 267312377669
BaseRepresentation
bin101001010001101111…
…110111100001000000
311020101211010000001211
4221101233313201000
51211232210104431
632205540335504
73126214530304
oct512157674100
9136354100054
1044321175616
111788416a263
12870b0a4594
1342443a7303
142206447d04
1512460502b1
hexa51bf7840

44321175616 has 56 divisors (see below), whose sum is σ = 89238333080. Its totient is φ = 21836500992.

The previous prime is 44321175601. The next prime is 44321175617. The reversal of 44321175616 is 61657112344.

It can be written as a sum of positive squares in 4 ways, for example, as 24523560000 + 19797615616 = 156600^2 + 140704^2 .

It is not an unprimeable number, because it can be changed into a prime (44321175617) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5775430 + ... + 5783098.

Almost surely, 244321175616 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 44321175616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44619166540).

44321175616 is an abundant number, since it is smaller than the sum of its proper divisors (44917157464).

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

44321175616 is a wasteful number, since it uses less digits than its factorization.

44321175616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991 (or 8981 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The spelling of 44321175616 in words is "forty-four billion, three hundred twenty-one million, one hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 1237 2336 2474 4672 4948 7669 9896 15338 19792 30676 39584 61352 79168 90301 122704 180602 245408 361204 490816 559837 722408 1119674 1444816 2239348 2889632 4478696 5779264 8957392 9486553 17914784 18973106 35829568 37946212 75892424 151784848 303569696 607139392 692518369 1385036738 2770073476 5540146952 11080293904 22160587808 44321175616