Search a number
-
+
38083993024 = 26711231131173
BaseRepresentation
bin100011011101111110…
…111001110111000000
310122022010202022001011
4203131332321313000
51110444000234044
625255012050304
72515520412430
oct433576716700
9118263668034
1038083993024
111517346a700
12746a303994
13378c135c1c
141bb3d382c0
15ecd6b6134
hex8ddfb9dc0

38083993024 has 336 divisors, whose sum is σ = 99315836928. Its totient is φ = 14167296000.

The previous prime is 38083993021. The next prime is 38083993043. The reversal of 38083993024 is 42039938083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38083993021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220138602 + ... + 220138774.

It is an arithmetic number, because the mean of its divisors is an integer number (295582848).

Almost surely, 238083993024 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 38083993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49657918464).

38083993024 is an abundant number, since it is smaller than the sum of its proper divisors (61231843904).

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

38083993024 is a wasteful number, since it uses less digits than its factorization.

38083993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 38083993024 in words is "thirty-eight billion, eighty-three million, nine hundred ninety-three thousand, twenty-four".