Search a number
-
+
38117750000 = 24561183167
BaseRepresentation
bin100011011111111111…
…101011010011110000
310122101111021022220112
4203133333223103300
51111031121000000
625302215400452
72516410346321
oct433777532360
9118344238815
1038117750000
1115190526830
127479683128
133796124c75
141bb8604448
15ed1633235
hex8dffeb4f0

38117750000 has 280 divisors, whose sum is σ = 102531187584. Its totient is φ = 13612000000.

The previous prime is 38117749991. The next prime is 38117750003. The reversal of 38117750000 is 5771183.

It is a super-4 number, since 4×381177500004 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38117750003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 228249917 + ... + 228250083.

Almost surely, 238117750000 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 38117750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51265593792).

38117750000 is an abundant number, since it is smaller than the sum of its proper divisors (64413437584).

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

38117750000 is an equidigital number, since it uses as much as digits as its factorization.

38117750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 38117750000 in words is "thirty-eight billion, one hundred seventeen million, seven hundred fifty thousand".