Search a number
-
+
9297054144 = 263274215477
BaseRepresentation
bin10001010100010010…
…11100100111000000
3212222221001021200200
420222021130213000
5123020021213034
64134312045200
7446250441060
oct105211344700
925887037620
109297054144
113a40a43424
121975693800
13b52189291
14642a5d3a0
15396307a99
hex22a25c9c0

9297054144 has 168 divisors, whose sum is σ = 30533144928. Its totient is φ = 2649507840.

The previous prime is 9297054139. The next prime is 9297054191. The reversal of 9297054144 is 4414507929.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 9297054144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1694734 + ... + 1700210.

Almost surely, 29297054144 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 9297054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266572464).

9297054144 is an abundant number, since it is smaller than the sum of its proper divisors (21236090784).

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

9297054144 is a wasteful number, since it uses less digits than its factorization.

9297054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9297054144 is about 96421.2328483721. The cubic root of 9297054144 is about 2102.7216520999.

The spelling of 9297054144 in words is "nine billion, two hundred ninety-seven million, fifty-four thousand, one hundred forty-four".