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11234111616 = 27397313
BaseRepresentation
bin10100111011001101…
…01111000010000000
31001222220222000000000
422131212233002000
5141001413032431
65054430000000
7545251242000
oct123546570200
931886860000
1011234111616
1148453aa372
122216346000
1310a0596230
14788012000
1545b3d59e6
hex29d9af080

11234111616 has 640 divisors, whose sum is σ = 42160272000. Its totient is φ = 2962842624.

The previous prime is 11234111599. The next prime is 11234111639. The reversal of 11234111616 is 61611143211.

11234111616 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 41 + 1 + 1 + 616 = 666.

It is a super-4 number, since 4×112341116164 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11234111616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 864162426 + ... + 864162438.

It is an arithmetic number, because the mean of its divisors is an integer number (65875425).

Almost surely, 211234111616 is an apocalyptic number.

11234111616 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 11234111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21080136000).

11234111616 is an abundant number, since it is smaller than the sum of its proper divisors (30926160384).

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

11234111616 is an frugal number, since it uses more digits than its factorization.

11234111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 25 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 11234111616 its reverse (61611143211), we get a palindrome (72845254827).

The spelling of 11234111616 in words is "eleven billion, two hundred thirty-four million, one hundred eleven thousand, six hundred sixteen".