Search a number
-
+
38482289664 = 2103713210589
BaseRepresentation
bin100011110101101110…
…010010010000000000
310200022220012212022120
4203311232102100000
51112302431232124
625402321004240
72531425031220
oct436556222000
9120286185276
1038482289664
1115358281885
12755b783680
1338237cc100
141c10bb8080
15100363ed79
hex8f5b92400

38482289664 has 264 divisors, whose sum is σ = 126944786880. Its totient is φ = 10148216832.

The previous prime is 38482289633. The next prime is 38482289693. The reversal of 38482289664 is 46698228483.

It is a junction number, because it is equal to n+sod(n) for n = 38482289598 and 38482289607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3628882 + ... + 3639470.

Almost surely, 238482289664 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 38482289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63472393440).

38482289664 is an abundant number, since it is smaller than the sum of its proper divisors (88462497216).

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

38482289664 is a wasteful number, since it uses less digits than its factorization.

38482289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10645 (or 10614 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 60.

The spelling of 38482289664 in words is "thirty-eight billion, four hundred eighty-two million, two hundred eighty-nine thousand, six hundred sixty-four".