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4423431168 = 210331331397
BaseRepresentation
bin1000001111010100…
…00011010000000000
3102102021110120211000
410013222003100000
533024344244133
62010533252000
7214421354532
oct40752032000
912367416730
104423431168
11196aa03342
12a35494000
135565780c0
142dd697852
151ad516413
hex107a83400

4423431168 has 352 divisors, whose sum is σ = 14599531520. Its totient is φ = 1313832960.

The previous prime is 4423431163. The next prime is 4423431193. The reversal of 4423431168 is 8611343244.

4423431168 is a `hidden beast` number, since 44 + 23 + 431 + 168 = 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 (4423431163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11141946 + ... + 11142342.

Almost surely, 24423431168 is an apocalyptic number.

4423431168 is a gapful number since it is divisible by the number (48) 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 4423431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299765760).

4423431168 is an abundant number, since it is smaller than the sum of its proper divisors (10176100352).

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

4423431168 is a wasteful number, since it uses less digits than its factorization.

4423431168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 446 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4423431168 is about 66508.8803694665. The cubic root of 4423431168 is about 1641.5461286655.

The spelling of 4423431168 in words is "four billion, four hundred twenty-three million, four hundred thirty-one thousand, one hundred sixty-eight".