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23112122688 = 2636599827
BaseRepresentation
bin10101100001100101…
…110000000101000000
32012122201112111000000
4111201211300011000
5334313200411223
614341221000000
71445511541614
oct254145600500
965581474000
1023112122688
119890210946
124590253000
132244388755
141193757344
159040ab543
hex561970140

23112122688 has 196 divisors, whose sum is σ = 68961304800. Its totient is φ = 7681879296.

The previous prime is 23112122681. The next prime is 23112122689. The reversal of 23112122688 is 88622121132.

It is a happy number.

23112122688 is a `hidden beast` number, since 231 + 121 + 226 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112122681) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27946531 + ... + 27947357.

Almost surely, 223112122688 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 23112122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34480652400).

23112122688 is an abundant number, since it is smaller than the sum of its proper divisors (45849182112).

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

23112122688 is an frugal number, since it uses more digits than its factorization.

23112122688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1431 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 23112122688 in words is "twenty-three billion, one hundred twelve million, one hundred twenty-two thousand, six hundred eighty-eight".