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25928201040 = 24357219116041
BaseRepresentation
bin11000001001011100…
…001111001101010000
32110220222111002021020
4120021130033031100
5411100104413130
615524455155440
71605345033600
oct301134171520
973828432236
1025928201040
11aaa5880225
125037375b80
1325a29250c1
14137d764c00
15a1b41ee10
hex60970f350

25928201040 has 240 divisors, whose sum is σ = 98422182720. Its totient is φ = 5614479360.

The previous prime is 25928201023. The next prime is 25928201051. The reversal of 25928201040 is 4010282952.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 25928200992 and 25928201010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165420 + ... + 281460.

It is an arithmetic number, because the mean of its divisors is an integer number (410092428).

Almost surely, 225928201040 is an apocalyptic number.

25928201040 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 25928201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49211091360).

25928201040 is an abundant number, since it is smaller than the sum of its proper divisors (72493981680).

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

25928201040 is a wasteful number, since it uses less digits than its factorization.

25928201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116090 (or 116077 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 25928201040 its reverse (4010282952), we get a palindrome (29938483992).

The spelling of 25928201040 in words is "twenty-five billion, nine hundred twenty-eight million, two hundred one thousand, forty".