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11044837944 = 233572472467
BaseRepresentation
bin10100100100101001…
…01101101000111000
31001111201210220100000
422102110231220320
5140104434303234
65023545113000
7540462400500
oct122224555070
931451726300
1011044837944
114758583248
122182a88760
1310702c628a
1476ac22a00
15449999899
hex29252da38

11044837944 has 288 divisors, whose sum is σ = 36868366080. Its totient is φ = 3087274176.

The previous prime is 11044837939. The next prime is 11044838003. The reversal of 11044837944 is 44973844011.

11044837944 is a `hidden beast` number, since 110 + 448 + 3 + 7 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11044837944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4475799 + ... + 4478265.

It is an arithmetic number, because the mean of its divisors is an integer number (128015160).

Almost surely, 211044837944 is an apocalyptic number.

11044837944 is a gapful number since it is divisible by the number (14) 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 11044837944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434183040).

11044837944 is an abundant number, since it is smaller than the sum of its proper divisors (25823528136).

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

11044837944 is a wasteful number, since it uses less digits than its factorization.

11044837944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11044837944 in words is "eleven billion, forty-four million, eight hundred thirty-seven thousand, nine hundred forty-four".