Search a number
-
+
26240816480 = 2551763115289
BaseRepresentation
bin11000011100000100…
…110001010101100000
32111201202201121000212
4120130010301111200
5412220122111410
620015503433252
71616162155064
oct303404612540
974652647025
1026240816480
111014629089a
125103bb5828
13262261c058
1413ad09daa4
15a38ac1b05
hex61c131560

26240816480 has 96 divisors (see below), whose sum is σ = 65748957120. Its totient is φ = 9862594560.

The previous prime is 26240816477. The next prime is 26240816491. The reversal of 26240816480 is 8461804262.

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 15 ways as a sum of consecutive naturals, for example, 1708676 + ... + 1723964.

It is an arithmetic number, because the mean of its divisors is an integer number (684884970).

Almost surely, 226240816480 is an apocalyptic number.

26240816480 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 26240816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32874478560).

26240816480 is an abundant number, since it is smaller than the sum of its proper divisors (39508140640).

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

26240816480 is a wasteful number, since it uses less digits than its factorization.

26240816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15952 (or 15944 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 26240816480 in words is "twenty-six billion, two hundred forty million, eight hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 631 680 1262 1360 2524 2720 3155 5048 6310 10096 10727 12620 15289 20192 21454 25240 30578 42908 50480 53635 61156 76445 85816 100960 107270 122312 152890 171632 214540 244624 259913 305780 343264 429080 489248 519826 611560 858160 1039652 1223120 1299565 1716320 2079304 2446240 2599130 4158608 5198260 8317216 9647359 10396520 19294718 20793040 38589436 41586080 48236795 77178872 96473590 154357744 164005103 192947180 308715488 328010206 385894360 656020412 771788720 820025515 1312040824 1543577440 1640051030 2624081648 3280102060 5248163296 6560204120 13120408240 26240816480