Search a number
-
+
25465423360 = 29513171923103
BaseRepresentation
bin10111101101110110…
…111000011000000000
32102201201200112122011
4113231312320120000
5404123122021420
615410524222304
71561025345536
oct275566703000
972651615564
1025465423360
11a888627533
124b2839a994
13252aaa3460
1413380dc156
159e09aa95a
hex5eddb8600

25465423360 has 640 divisors, whose sum is σ = 77215057920. Its totient is φ = 7941390336.

The previous prime is 25465423283. The next prime is 25465423387. The reversal of 25465423360 is 6332456452.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 247237069 + ... + 247237171.

It is an arithmetic number, because the mean of its divisors is an integer number (120648528).

Almost surely, 225465423360 is an apocalyptic number.

25465423360 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 25465423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38607528960).

25465423360 is an abundant number, since it is smaller than the sum of its proper divisors (51749634560).

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

25465423360 is a wasteful number, since it uses less digits than its factorization.

25465423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 25465423360 in words is "twenty-five billion, four hundred sixty-five million, four hundred twenty-three thousand, three hundred sixty".