Search a number
-
+
9125284896 = 2532721349741
BaseRepresentation
bin10000111111110100…
…01100110000100000
3212112221211111120200
420133322030300200
5122142033104041
64105254305200
7442063433100
oct103772146040
925487744520
109125284896
113962a92672
121928058200
13b25707880
14627d09200
153861c81b6
hex21fe8cc20

9125284896 has 216 divisors, whose sum is σ = 32509481004. Its totient is φ = 2406620160.

The previous prime is 9125284879. The next prime is 9125284933. The reversal of 9125284896 is 6984825219.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9089715600 + 35569296 = 95340^2 + 5964^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158586 + ... + 208326.

Almost surely, 29125284896 is an apocalyptic number.

9125284896 is a gapful number since it is divisible by the number (96) 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 9125284896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254740502).

9125284896 is an abundant number, since it is smaller than the sum of its proper divisors (23384196108).

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

9125284896 is a wasteful number, since it uses less digits than its factorization.

9125284896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49784 (or 49766 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 9125284896 is about 95526.3570748932. The cubic root of 9125284896 is about 2089.6913454898.

The spelling of 9125284896 in words is "nine billion, one hundred twenty-five million, two hundred eighty-four thousand, eight hundred ninety-six".