Search a number
-
+
9431665056 = 2533111922749
BaseRepresentation
bin10001100100010101…
…11100100110100000
3220100022100020011000
420302022330212200
5123304001240211
64155521152000
7452503554522
oct106212744640
926308306130
109431665056
113aaaa24610
1219b278b600
13b7402a6c8
1465689da12
153a3047656
hex2322bc9a0

9431665056 has 288 divisors, whose sum is σ = 31683960000. Its totient is φ = 2706670080.

The previous prime is 9431665049. The next prime is 9431665057. The reversal of 9431665056 is 6505661349.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (9431665057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3429570 + ... + 3432318.

It is an arithmetic number, because the mean of its divisors is an integer number (110013750).

Almost surely, 29431665056 is an apocalyptic number.

9431665056 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 9431665056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841980000).

9431665056 is an abundant number, since it is smaller than the sum of its proper divisors (22252294944).

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

9431665056 is a wasteful number, since it uses less digits than its factorization.

9431665056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 9431665056 is about 97116.7599130037. The cubic root of 9431665056 is about 2112.8214134434.

The spelling of 9431665056 in words is "nine billion, four hundred thirty-one million, six hundred sixty-five thousand, fifty-six".