Search a number
-
+
38008922112 = 2133473167
BaseRepresentation
bin100011011001100000…
…100010000000000000
310122002220111022010000
4203121200202000000
51110320241001422
625243331040000
72513616336000
oct433140420000
9118086438100
1038008922112
1115135055827
127449140000
133779710275
141ba7d96000
15ec6cd7cac
hex8d9822000

38008922112 has 560 divisors, whose sum is σ = 133213449600. Its totient is φ = 10794663936.

The previous prime is 38008922089. The next prime is 38008922213. The reversal of 38008922112 is 21122980083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 227598253 + ... + 227598419.

It is an arithmetic number, because the mean of its divisors is an integer number (237881160).

Almost surely, 238008922112 is an apocalyptic number.

38008922112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38008922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66606724800).

38008922112 is an abundant number, since it is smaller than the sum of its proper divisors (95204527488).

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

38008922112 is an frugal number, since it uses more digits than its factorization.

38008922112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 38008922112 in words is "thirty-eight billion, eight million, nine hundred twenty-two thousand, one hundred twelve".