Search a number
-
+
38082428928 = 21432271953
BaseRepresentation
bin100011011101111000…
…111100000000000000
310122022000210211111200
4203131320330000000
51110443100211203
625254514341200
72515501206405
oct433570740000
9118260724450
1038082428928
11151725a1565
12746988a800
13378ba0901b
141bb3a4c2ac
15ecd4a79a3
hex8dde3c000

38082428928 has 180 divisors, whose sum is σ = 110534362848. Its totient is φ = 12634030080.

The previous prime is 38082428927. The next prime is 38082428939. The reversal of 38082428928 is 82982428083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38082428921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39960100 + ... + 39961052.

Almost surely, 238082428928 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 38082428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55267181424).

38082428928 is an abundant number, since it is smaller than the sum of its proper divisors (72451933920).

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

38082428928 is an equidigital number, since it uses as much as digits as its factorization.

38082428928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 38082428928 in words is "thirty-eight billion, eighty-two million, four hundred twenty-eight thousand, nine hundred twenty-eight".