Search a number
-
+
38582750976 = 28371119231493
BaseRepresentation
bin100011111011101101…
…100000111100000000
310200120220020211022220
4203323231200330000
51113004141012401
625420310131040
72534054654310
oct437355407400
9120526224286
1038582750976
11153a9a58960
127589350a80
13383b574883
141c20289440
15100c386336
hex8fbb60f00

38582750976 has 576 divisors, whose sum is σ = 140716154880. Its totient is φ = 9075179520.

The previous prime is 38582750971. The next prime is 38582750977. The reversal of 38582750976 is 67905728583.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38582750971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25841686 + ... + 25843178.

It is an arithmetic number, because the mean of its divisors is an integer number (244298880).

Almost surely, 238582750976 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 38582750976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70358077440).

38582750976 is an abundant number, since it is smaller than the sum of its proper divisors (102133403904).

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

38582750976 is a wasteful number, since it uses less digits than its factorization.

38582750976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 38582750976 in words is "thirty-eight billion, five hundred eighty-two million, seven hundred fifty thousand, nine hundred seventy-six".