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4454344116 = 22331967179181
BaseRepresentation
bin1000010010111111…
…11110010110110100
3102111102122010102000
410021133332112310
533110303002431
62014000015300
7215245204665
oct41137762664
912442563360
104454344116
1119863a7732
12a43901530
1355caac7a1
1430382336c
151b10c09e6
hex1097fe5b4

4454344116 has 192 divisors, whose sum is σ = 12475008000. Its totient is φ = 1370286720.

The previous prime is 4454344093. The next prime is 4454344127. The reversal of 4454344116 is 6114434544.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24609546 + ... + 24609726.

It is an arithmetic number, because the mean of its divisors is an integer number (64974000).

Almost surely, 24454344116 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 4454344116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237504000).

4454344116 is an abundant number, since it is smaller than the sum of its proper divisors (8020663884).

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

4454344116 is a wasteful number, since it uses less digits than its factorization.

4454344116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4454344116 is about 66740.8729040908. The cubic root of 4454344116 is about 1645.3612121177.

The spelling of 4454344116 in words is "four billion, four hundred fifty-four million, three hundred forty-four thousand, one hundred sixteen".