Search a number
-
+
2025436660320 = 25351737101127523
BaseRepresentation
bin11101011110010101011…
…011101100001001100000
321011122000011102002010110
4131132111123230021200
5231141043241112240
64150250040531320
7266222131356423
oct35362533541140
97148004362113
102025436660320
11710a8a212207
12288662780b40
13118cc83a6878
1470062c219ba
1537a461a5c80
hex1d7956ec260

2025436660320 has 768 divisors, whose sum is σ = 7075372695552. Its totient is φ = 484923801600.

The previous prime is 2025436660309. The next prime is 2025436660327. The reversal of 2025436660320 is 230666345202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025436660327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3872727579 + ... + 3872728101.

It is an arithmetic number, because the mean of its divisors is an integer number (9212724864).

Almost surely, 22025436660320 is an apocalyptic number.

2025436660320 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 2025436660320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537686347776).

2025436660320 is an abundant number, since it is smaller than the sum of its proper divisors (5049936035232).

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

2025436660320 is a wasteful number, since it uses less digits than its factorization.

2025436660320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 2025436660320 in words is "two trillion, twenty-five billion, four hundred thirty-six million, six hundred sixty thousand, three hundred twenty".