Search a number
-
+
25809352192 = 291316323789
BaseRepresentation
bin11000000010010110…
…110111011000000000
32110121200211221022001
4120002112313120000
5410324143232232
615505011553344
71602402605521
oct300226673000
973550757261
1025809352192
11aa44785338
1250035bb854
132584112140
14136ba68848
15a10c956e7
hex6025b7600

25809352192 has 80 divisors (see below), whose sum is σ = 55878142320. Its totient is φ = 11838431232.

The previous prime is 25809352189. The next prime is 25809352201. The reversal of 25809352192 is 29125390852.

It is a super-2 number, since 2×258093521922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1073034 + ... + 1096822.

It is an arithmetic number, because the mean of its divisors is an integer number (698476779).

Almost surely, 225809352192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25809352192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27939071160).

25809352192 is an abundant number, since it is smaller than the sum of its proper divisors (30068790128).

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

25809352192 is a wasteful number, since it uses less digits than its factorization.

25809352192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23983 (or 23967 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 25809352192 in words is "twenty-five billion, eight hundred nine million, three hundred fifty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 163 208 256 326 416 512 652 832 1304 1664 2119 2608 3328 4238 5216 6656 8476 10432 16952 20864 23789 33904 41728 47578 67808 83456 95156 135616 190312 271232 309257 380624 542464 618514 761248 1084928 1237028 1522496 2474056 3044992 3877607 4948112 6089984 7755214 9896224 12179968 15510428 19792448 31020856 39584896 50408891 62041712 79169792 100817782 124083424 158339584 201635564 248166848 403271128 496333696 806542256 992667392 1613084512 1985334784 3226169024 6452338048 12904676096 25809352192