Search a number
-
+
2595244930320 = 243576736436329
BaseRepresentation
bin100101110001000000101…
…001101111010100010000
3100012002210002012100010110
4211301000221233110100
5320010030200232240
65304123345401320
7355333405634130
oct45610051572420
910162702170113
102595244930320
11910701118129
1235ab86339240
1315a96601bc83
148d8793ccac0
1547795675c80
hex25c40a6f510

2595244930320 has 320 divisors, whose sum is σ = 9335851038720. Its totient is φ = 584092422144.

The previous prime is 2595244930261. The next prime is 2595244930339. The reversal of 2595244930320 is 230394425952.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2595244930320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410052916 + ... + 410059244.

It is an arithmetic number, because the mean of its divisors is an integer number (29174534496).

Almost surely, 22595244930320 is an apocalyptic number.

2595244930320 is a gapful number since it is divisible by the number (20) 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 2595244930320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667925519360).

2595244930320 is an abundant number, since it is smaller than the sum of its proper divisors (6740606108400).

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

2595244930320 is a wasteful number, since it uses less digits than its factorization.

2595244930320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 2595244930320 in words is "two trillion, five hundred ninety-five billion, two hundred forty-four million, nine hundred thirty thousand, three hundred twenty".