Search a number
-
+
9180828120 = 23351923296037
BaseRepresentation
bin10001000110011100…
…00101000111011000
3212200211100101120010
420203032011013120
5122300242444440
64115001001520
7443336515512
oct104316050730
925624311503
109180828120
11399137a062
1219427832a0
13b34084099
14631446bb2
1538aeea580
hex2233851d8

9180828120 has 256 divisors, whose sum is σ = 31300992000. Its totient is φ = 2141669376.

The previous prime is 9180828113. The next prime is 9180828193. The reversal of 9180828120 is 218280819.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1517742 + ... + 1523778.

It is an arithmetic number, because the mean of its divisors is an integer number (122269500).

Almost surely, 29180828120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9180828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650496000).

9180828120 is an abundant number, since it is smaller than the sum of its proper divisors (22120163880).

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

9180828120 is a wasteful number, since it uses less digits than its factorization.

9180828120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 9180828120 is about 95816.6380124037. The cubic root of 9180828120 is about 2093.9225739451.

The spelling of 9180828120 in words is "nine billion, one hundred eighty million, eight hundred twenty-eight thousand, one hundred twenty".