Search a number
-
+
25906023936 = 29361319281
BaseRepresentation
bin11000001000000111…
…101000111000000000
32110212102202101000000
4120020013220320000
5411023420231221
615522344000000
71604655366402
oct301007507000
973772671000
1025906023936
11aa94303241
12502ba60000
13259b15ba60
14137a830b72
15a194dde26
hex6081e8e00

25906023936 has 560 divisors, whose sum is σ = 88288255440. Its totient is φ = 7524679680.

The previous prime is 25906023929. The next prime is 25906023961. The reversal of 25906023936 is 63932060952.

25906023936 is a `hidden beast` number, since 2 + 5 + 9 + 0 + 602 + 3 + 9 + 36 = 666.

It is a super-2 number, since 2×259060239362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25906023891 and 25906023900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 92192116 + ... + 92192396.

It is an arithmetic number, because the mean of its divisors is an integer number (157657599).

Almost surely, 225906023936 is an apocalyptic number.

25906023936 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 25906023936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44144127720).

25906023936 is an abundant number, since it is smaller than the sum of its proper divisors (62382231504).

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

25906023936 is an equidigital number, since it uses as much as digits as its factorization.

25906023936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 25906023936 in words is "twenty-five billion, nine hundred six million, twenty-three thousand, nine hundred thirty-six".