Search a number
-
+
38081281392 = 24327411171931
BaseRepresentation
bin100011011101110100…
…100011110101110000
310122021221122112101100
4203131310203311300
51110442302001032
625254434004400
72515455360000
oct433564436560
9118257575340
1038081281392
1115171988390
127469416700
13378b6c68cb
141bb3830000
15ecd32c97c
hex8ddd23d70

38081281392 has 1200 divisors, whose sum is σ = 156045726720. Its totient is φ = 8534937600.

The previous prime is 38081281391. The next prime is 38081281417. The reversal of 38081281392 is 29318218083.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38081281391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1228428417 + ... + 1228428447.

Almost surely, 238081281392 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 38081281392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78022863360).

38081281392 is an abundant number, since it is smaller than the sum of its proper divisors (117964445328).

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

38081281392 is a wasteful number, since it uses less digits than its factorization.

38081281392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 38081281392 in words is "thirty-eight billion, eighty-one million, two hundred eighty-one thousand, three hundred ninety-two".