Search a number
-
+
39109244328 = 2332711172941349
BaseRepresentation
bin100100011011000101…
…111011010110101000
310201221120221110102200
4210123011323112220
51120043431304303
625544434500200
72553110043330
oct443305732650
9121846843380
1039109244328
111564a170130
1276b5734660
1338c36747bb
141c7017a0c0
15103d6d43a3
hex91b17b5a8

39109244328 has 768 divisors, whose sum is σ = 148599360000. Its totient is φ = 8980070400.

The previous prime is 39109244281. The next prime is 39109244347. The reversal of 39109244328 is 82344290193.

39109244328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112060698 + ... + 112061046.

It is an arithmetic number, because the mean of its divisors is an integer number (193488750).

Almost surely, 239109244328 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 39109244328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680000).

39109244328 is an abundant number, since it is smaller than the sum of its proper divisors (109490115672).

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

39109244328 is a wasteful number, since it uses less digits than its factorization.

39109244328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 39109244328 in words is "thirty-nine billion, one hundred nine million, two hundred forty-four thousand, three hundred twenty-eight".