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11044509696 = 2113211194761
BaseRepresentation
bin10100100100100110…
…11101100000000000
31001111201012020001200
422102103131200000
5140104343302241
65023534101200
7540456532503
oct122223354000
931451166050
1011044509696
114758379670
12218294a800
13107020ca4c
1476ab7913a
154499324b6
hex2924dd800

11044509696 has 576 divisors, whose sum is σ = 38022566400. Its totient is φ = 3052339200.

The previous prime is 11044509673. The next prime is 11044509701. The reversal of 11044509696 is 69690544011.

It is a happy number.

11044509696 is a `hidden beast` number, since 1 + 10 + 44 + 509 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181057506 + ... + 181057566.

It is an arithmetic number, because the mean of its divisors is an integer number (66011400).

Almost surely, 211044509696 is an apocalyptic number.

11044509696 is a gapful number since it is divisible by the number (16) 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 11044509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19011283200).

11044509696 is an abundant number, since it is smaller than the sum of its proper divisors (26978056704).

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

11044509696 is a wasteful number, since it uses less digits than its factorization.

11044509696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11044509696 in words is "eleven billion, forty-four million, five hundred nine thousand, six hundred ninety-six".