Search a number
-
+
9125532000 = 25325313173137
BaseRepresentation
bin10000111111110110…
…01001000101100000
3212112222022001112200
420133323021011200
5122142114011000
64105303453200
7442065512364
oct103773110540
925488261480
109125532000
113963141292
121928157200
13b257931a0
14627d712a4
15386226500
hex21fec9160

9125532000 has 1152 divisors, whose sum is σ = 39150978048. Its totient is φ = 1990656000.

The previous prime is 9125531999. The next prime is 9125532007. The reversal of 9125532000 is 2355219.

9125532000 is a `hidden beast` number, since 9 + 125 + 532 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9125532007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 246635982 + ... + 246636018.

It is an arithmetic number, because the mean of its divisors is an integer number (33985224).

Almost surely, 29125532000 is an apocalyptic number.

9125532000 is a gapful number since it is divisible by the number (90) 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 9125532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19575489024).

9125532000 is an abundant number, since it is smaller than the sum of its proper divisors (30025446048).

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

9125532000 is a wasteful number, since it uses less digits than its factorization.

9125532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 9125532000 is about 95527.6504473966. The cubic root of 9125532000 is about 2089.7102076015.

Adding to 9125532000 its reverse (2355219), we get a palindrome (9127887219).

The spelling of 9125532000 in words is "nine billion, one hundred twenty-five million, five hundred thirty-two thousand".