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38489857920 = 2732529317433
BaseRepresentation
bin100011110110001011…
…001001111110000000
310200100102110101000100
4203312023021332000
51112311400423140
625403151122400
72531546252133
oct436613117600
9120312411010
1038489857920
1115361580a38
127562213400
13382524bb77
141c11bc821a
151004137530
hex8f62c9f80

38489857920 has 384 divisors, whose sum is σ = 141947769600. Its totient is φ = 9589063680.

The previous prime is 38489857853. The next prime is 38489857927. The reversal of 38489857920 is 2975898483.

38489857920 is a `hidden beast` number, since 3 + 8 + 489 + 85 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38489857927) 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 47 ways as a sum of consecutive naturals, for example, 5174524 + ... + 5181956.

It is an arithmetic number, because the mean of its divisors is an integer number (369655650).

Almost surely, 238489857920 is an apocalyptic number.

38489857920 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 38489857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70973884800).

38489857920 is an abundant number, since it is smaller than the sum of its proper divisors (103457911680).

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

38489857920 is a wasteful number, since it uses less digits than its factorization.

38489857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 38489857920 in words is "thirty-eight billion, four hundred eighty-nine million, eight hundred fifty-seven thousand, nine hundred twenty".