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25823199840 = 2535377120479
BaseRepresentation
bin11000000011001011…
…101100001001100000
32110122122220110200220
4120003023230021200
5410341214343330
615510224443040
71602631401624
oct300313541140
973578813626
1025823199840
11aa51583279
125008179480
132586c50109
14136d831184
15a120cd710
hex6032ec260

25823199840 has 192 divisors, whose sum is σ = 84722319360. Its totient is φ = 6605383680.

The previous prime is 25823199817. The next prime is 25823199847. The reversal of 25823199840 is 4899132852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25823199847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250721 + ... + 1271199.

It is an arithmetic number, because the mean of its divisors is an integer number (441262080).

Almost surely, 225823199840 is an apocalyptic number.

25823199840 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 25823199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42361159680).

25823199840 is an abundant number, since it is smaller than the sum of its proper divisors (58899119520).

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

25823199840 is a wasteful number, since it uses less digits than its factorization.

25823199840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20605 (or 20597 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 25823199840 in words is "twenty-five billion, eight hundred twenty-three million, one hundred ninety-nine thousand, eight hundred forty".