Search a number
-
+
38504808000 = 26355329683
BaseRepresentation
bin100011110111000100…
…001011111001000000
310200101110120220200000
4203313010023321000
51112324212324000
625404443400000
72532120316311
oct436704137100
9120343526600
1038504808000
1115369a6217a
127567223000
133828384879
141c13b9a608
1510055dc000
hex8f710be40

38504808000 has 672 divisors, whose sum is σ = 147981375360. Its totient is φ = 9899366400.

The previous prime is 38504807987. The next prime is 38504808049. The reversal of 38504808000 is 80840583.

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 95 ways as a sum of consecutive naturals, for example, 56375659 + ... + 56376341.

It is an arithmetic number, because the mean of its divisors is an integer number (220210380).

Almost surely, 238504808000 is an apocalyptic number.

38504808000 is a gapful number since it is divisible by the number (30) 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 38504808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73990687680).

38504808000 is an abundant number, since it is smaller than the sum of its proper divisors (109476567360).

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

38504808000 is an equidigital number, since it uses as much as digits as its factorization.

38504808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 38504808000 in words is "thirty-eight billion, five hundred four million, eight hundred eight thousand".