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38679396756 = 2237211213193171
BaseRepresentation
bin100100000001011110…
…001100000110010100
310200211122002221102020
4210001132030012110
51113203411144011
625434041413140
72536340306400
oct440136140624
9120748087366
1038679396756
1115449569300
1275b579a1b0
1338555b2720
141c2d046100
151015ac7006
hex90178c194

38679396756 has 864 divisors, whose sum is σ = 136938332160. Its totient is φ = 8382528000.

The previous prime is 38679396739. The next prime is 38679396757. The reversal of 38679396756 is 65769397683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38679396757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 544780201 + ... + 544780271.

It is an arithmetic number, because the mean of its divisors is an integer number (158493440).

Almost surely, 238679396756 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 38679396756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68469166080).

38679396756 is an abundant number, since it is smaller than the sum of its proper divisors (98258935404).

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

38679396756 is a wasteful number, since it uses less digits than its factorization.

38679396756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 69.

The spelling of 38679396756 in words is "thirty-eight billion, six hundred seventy-nine million, three hundred ninety-six thousand, seven hundred fifty-six".