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38590009344 = 21232611312
BaseRepresentation
bin100011111100001001…
…001101000000000000
310200121101220120221100
4203330021031000000
51113013020244334
625421125454400
72534203444605
oct437411150000
9120541816840
1038590009344
1115403066207
12758b871400
13383cc16573
141c212186ac
15100cd1bc99
hex8fc24d000

38590009344 has 234 divisors, whose sum is σ = 114167452178. Its totient is φ = 12555878400.

The previous prime is 38590009321. The next prime is 38590009369. The reversal of 38590009344 is 44390009583.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22774431744 + 15815577600 = 150912^2 + 125760^2 .

It is a super-3 number, since 3×385900093443 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38590009344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 294580159 + ... + 294580289.

Almost surely, 238590009344 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 38590009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57083726089).

38590009344 is an abundant number, since it is smaller than the sum of its proper divisors (75577442834).

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

38590009344 is an equidigital number, since it uses as much as digits as its factorization.

38590009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 38590009344 in words is "thirty-eight billion, five hundred ninety million, nine thousand, three hundred forty-four".