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38682322784 = 25717312111553
BaseRepresentation
bin100100000001101001…
…010110011101100000
310200211211121121011122
4210001221112131200
51113210133312114
625434224231412
72536404214160
oct440151263540
9120754547148
1038682322784
1115450187706
1275b676b568
1338560984c1
141c2d5a85a0
151015ea3e8e
hex901a56760

38682322784 has 192 divisors, whose sum is σ = 95640072192. Its totient is φ = 15018393600.

The previous prime is 38682322747. The next prime is 38682322793. The reversal of 38682322784 is 48722328683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24907352 + ... + 24908904.

It is an arithmetic number, because the mean of its divisors is an integer number (498125376).

Almost surely, 238682322784 is an apocalyptic number.

38682322784 is a gapful number since it is divisible by the number (34) 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 38682322784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47820036096).

38682322784 is an abundant number, since it is smaller than the sum of its proper divisors (56957749408).

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

38682322784 is a wasteful number, since it uses less digits than its factorization.

38682322784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1821 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 53.

The spelling of 38682322784 in words is "thirty-eight billion, six hundred eighty-two million, three hundred twenty-two thousand, seven hundred eighty-four".