Search a number
-
+
38189171328 = 2737117916349
BaseRepresentation
bin100011100100010000…
…001000001010000000
310122120110122220112220
4203210100020022000
51111202411440303
625313250251040
72521235412630
oct434420101200
9118513586486
1038189171328
1115217878720
127499586a80
1337a7b706c9
141bc3cb66c0
15ed7a40053
hex8e4408280

38189171328 has 256 divisors, whose sum is σ = 128079360000. Its totient is φ = 9793105920.

The previous prime is 38189171303. The next prime is 38189171341. The reversal of 38189171328 is 82317198183.

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, 2327698 + ... + 2344046.

It is an arithmetic number, because the mean of its divisors is an integer number (500310000).

Almost surely, 238189171328 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 38189171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64039680000).

38189171328 is an abundant number, since it is smaller than the sum of its proper divisors (89890188672).

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

38189171328 is a wasteful number, since it uses less digits than its factorization.

38189171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16463 (or 16451 counting only the distinct ones).

The product of its digits is 580608, while the sum is 51.

The spelling of 38189171328 in words is "thirty-eight billion, one hundred eighty-nine million, one hundred seventy-one thousand, three hundred twenty-eight".