Search a number
-
+
12295540320 = 253578344089
BaseRepresentation
bin10110111001101111…
…10000111001100000
31011201220020011110020
423130313300321200
5200140124242240
65352024033440
7613460240220
oct133467607140
934656204406
1012295540320
11523a56a478
122471902880
13120c46075b
14848d90080
154be69d0d0
hex2dcdf0e60

12295540320 has 192 divisors, whose sum is σ = 44798261760. Its totient is φ = 2776485888.

The previous prime is 12295540303. The next prime is 12295540349. The reversal of 12295540320 is 2304559221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256836 + ... + 300924.

It is an arithmetic number, because the mean of its divisors is an integer number (233324280).

Almost surely, 212295540320 is an apocalyptic number.

12295540320 is a gapful number since it is divisible by the number (10) 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 12295540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22399130880).

12295540320 is an abundant number, since it is smaller than the sum of its proper divisors (32502721440).

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

12295540320 is a wasteful number, since it uses less digits than its factorization.

12295540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44197 (or 44189 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 12295540320 in words is "twelve billion, two hundred ninety-five million, five hundred forty thousand, three hundred twenty".