Search a number
-
+
38852230560 = 2535111319313
BaseRepresentation
bin100100001011110001…
…011111110110100000
310201021200022210211020
4210023301133312200
51114032132334220
625503134045440
72543536340133
oct441361376640
9121250283736
1038852230560
1115528086960
127643649880
133882347850
141c47d9621a
151025d67040
hex90bc5fda0

38852230560 has 768 divisors, whose sum is σ = 156392570880. Its totient is φ = 7970918400.

The previous prime is 38852230481. The next prime is 38852230577. The reversal of 38852230560 is 6503225883.

38852230560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1253297745 + ... + 1253297775.

It is an arithmetic number, because the mean of its divisors is an integer number (203636160).

Almost surely, 238852230560 is an apocalyptic number.

38852230560 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 38852230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78196285440).

38852230560 is an abundant number, since it is smaller than the sum of its proper divisors (117540340320).

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

38852230560 is a wasteful number, since it uses less digits than its factorization.

38852230560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 38852230560 in words is "thirty-eight billion, eight hundred fifty-two million, two hundred thirty thousand, five hundred sixty".