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26564130216 = 233213167169943
BaseRepresentation
bin11000101111010110…
…000111010110101000
32112120022002122002200
4120233112013112220
5413400404131331
620111533300200
71630166244531
oct305726072650
975508078080
1026564130216
11102a1839228
125194334660
1326745c0660
1413dddc1688
15a571885e6
hex62f5875a8

26564130216 has 96 divisors (see below), whose sum is σ = 77943116160. Its totient is φ = 8124587136.

The previous prime is 26564130157. The next prime is 26564130221. The reversal of 26564130216 is 61203146562.

26564130216 is a `hidden beast` number, since 2 + 6 + 5 + 641 + 3 + 0 + 2 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71341 + ... + 241283.

It is an arithmetic number, because the mean of its divisors is an integer number (811907460).

Almost surely, 226564130216 is an apocalyptic number.

26564130216 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 26564130216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38971558080).

26564130216 is an abundant number, since it is smaller than the sum of its proper divisors (51378985944).

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

26564130216 is a wasteful number, since it uses less digits than its factorization.

26564130216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170135 (or 170128 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 26564130216 its reverse (61203146562), we get a palindrome (87767276778).

The spelling of 26564130216 in words is "twenty-six billion, five hundred sixty-four million, one hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 167 234 312 334 468 501 668 936 1002 1336 1503 2004 2171 3006 4008 4342 6012 6513 8684 12024 13026 17368 19539 26052 39078 52104 78156 156312 169943 339886 509829 679772 1019658 1359544 1529487 2039316 2209259 3058974 4078632 4418518 6117948 6627777 8837036 12235896 13255554 17674072 19883331 26511108 28380481 39766662 53022216 56760962 79533324 85141443 113521924 159066648 170282886 227043848 255424329 340565772 368946253 510848658 681131544 737892506 1021697316 1106838759 1475785012 2043394632 2213677518 2951570024 3320516277 4427355036 6641032554 8854710072 13282065108 26564130216