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38853429888 = 273713231289
BaseRepresentation
bin100100001011110110…
…000100101010000000
310201021202120201222210
4210023312010222000
51114032434224023
625503215502120
72543552463540
oct441366045200
9121252521883
1038853429888
1115528825a39
127643b27940
133882677700
141c481c9320
151026002593
hex90bd84a80

38853429888 has 576 divisors, whose sum is σ = 133454433600. Its totient is φ = 9805086720.

The previous prime is 38853429883. The next prime is 38853429889. The reversal of 38853429888 is 88892435883.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (38853429883) 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 71 ways as a sum of consecutive naturals, for example, 436555348 + ... + 436555436.

It is an arithmetic number, because the mean of its divisors is an integer number (231691725).

Almost surely, 238853429888 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 38853429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66727216800).

38853429888 is an abundant number, since it is smaller than the sum of its proper divisors (94601003712).

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

38853429888 is a wasteful number, since it uses less digits than its factorization.

38853429888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 145 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 66.

The spelling of 38853429888 in words is "thirty-eight billion, eight hundred fifty-three million, four hundred twenty-nine thousand, eight hundred eighty-eight".