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11109195648 = 2732291911741
BaseRepresentation
bin10100101100010100…
…01101111110000000
31001200012220121111200
422112022031332000
5140222423230043
65034204341200
7542203414335
oct122612157600
931605817450
1011109195648
114790940131
1221a0544800
13108073a865
147755b698c
1545045d7d3
hex29628df80

11109195648 has 192 divisors, whose sum is σ = 33262444800. Its totient is φ = 3554611200.

The previous prime is 11109195637. The next prime is 11109195659. The reversal of 11109195648 is 84659190111.

It is an interprime number because it is at equal distance from previous prime (11109195637) and next prime (11109195659).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6380058 + ... + 6381798.

It is an arithmetic number, because the mean of its divisors is an integer number (173241900).

Almost surely, 211109195648 is an apocalyptic number.

11109195648 is a gapful number since it is divisible by the number (18) 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 11109195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16631222400).

11109195648 is an abundant number, since it is smaller than the sum of its proper divisors (22153249152).

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

11109195648 is a wasteful number, since it uses less digits than its factorization.

11109195648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 11109195648 in words is "eleven billion, one hundred nine million, one hundred ninety-five thousand, six hundred forty-eight".