Search a number
-
+
25110536256 = 26321317197261
BaseRepresentation
bin10111011000101101…
…000110000001000000
32101210222220102001100
4113120231012001000
5402411244130011
615311405534400
71546156015341
oct273055060100
971728812040
1025110536256
11a716274603
124a49574400
1324a23c89a0
141302d1c0c8
159be758d56
hex5d8b46040

25110536256 has 168 divisors, whose sum is σ = 82071249624. Its totient is φ = 7271792640.

The previous prime is 25110536233. The next prime is 25110536267. The reversal of 25110536256 is 65263501152.

25110536256 is a `hidden beast` number, since 2 + 5 + 110 + 536 + 2 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1635393600 + 23475142656 = 40440^2 + 153216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 25110536256.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28666 + ... + 225926.

It is an arithmetic number, because the mean of its divisors is an integer number (488519343).

Almost surely, 225110536256 is an apocalyptic number.

25110536256 is a gapful number since it is divisible by the number (26) 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 25110536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41035624812).

25110536256 is an abundant number, since it is smaller than the sum of its proper divisors (56960713368).

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

25110536256 is a wasteful number, since it uses less digits than its factorization.

25110536256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197309 (or 197296 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 25110536256 in words is "twenty-five billion, one hundred ten million, five hundred thirty-six thousand, two hundred fifty-six".