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25432122144 = 25311138232251
BaseRepresentation
bin10111101011110111…
…110110001100100000
32102122102000122221210
4113223313312030200
5404041110402034
615403334350120
71560142320462
oct275367661440
972572018853
1025432122144
11a870851870
124b191bb340
132523c139b0
141333910132
159dcacd8e9
hex5ebdf6320

25432122144 has 192 divisors, whose sum is σ = 78560713728. Its totient is φ = 7102080000.

The previous prime is 25432122127. The next prime is 25432122169. The reversal of 25432122144 is 44122123452.

It is a happy 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, 11297019 + ... + 11299269.

It is an arithmetic number, because the mean of its divisors is an integer number (409170384).

Almost surely, 225432122144 is an apocalyptic number.

25432122144 is a gapful number since it is divisible by the number (24) 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 25432122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39280356864).

25432122144 is an abundant number, since it is smaller than the sum of its proper divisors (53128591584).

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

25432122144 is a wasteful number, since it uses less digits than its factorization.

25432122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3103 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 25432122144 its reverse (44122123452), we get a palindrome (69554245596).

The spelling of 25432122144 in words is "twenty-five billion, four hundred thirty-two million, one hundred twenty-two thousand, one hundred forty-four".