Search a number
-
+
38450880000 = 29325413279
BaseRepresentation
bin100011110011110110…
…011101111000000000
310200020201010002100200
4203303312131320000
51112221411130000
625355235445200
72530564041651
oct436366357000
9120221102320
1038450880000
1115341579285
127551156800
13381a152600
141c0a95d528
1510009d8500
hex8f3d9de00

38450880000 has 900 divisors, whose sum is σ = 152058638160. Its totient is φ = 9345024000.

The previous prime is 38450879989. The next prime is 38450880037. The reversal of 38450880000 is 8805483.

38450880000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 486719961 + ... + 486720039.

Almost surely, 238450880000 is an apocalyptic number.

38450880000 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 38450880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76029319080).

38450880000 is an abundant number, since it is smaller than the sum of its proper divisors (113607758160).

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

38450880000 is an equidigital number, since it uses as much as digits as its factorization.

38450880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

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

The spelling of 38450880000 in words is "thirty-eight billion, four hundred fifty million, eight hundred eighty thousand".