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26280105240 = 2335799728579
BaseRepresentation
bin11000011110011010…
…101001010100011000
32111211111122200002010
4120132122221110120
5412310201331430
620023425505520
71620150131424
oct303632512430
974744580063
1026280105240
1110166486044
1251151a22a0
13262a7c6c3c
1413b43a9b84
15a3c282cb0
hex61e6a9518

26280105240 has 128 divisors (see below), whose sum is σ = 80664192000. Its totient is φ = 6847746048.

The previous prime is 26280105223. The next prime is 26280105253. The reversal of 26280105240 is 4250108262.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26280105198 and 26280105207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905271 + ... + 933849.

It is an arithmetic number, because the mean of its divisors is an integer number (630189000).

Almost surely, 226280105240 is an apocalyptic number.

26280105240 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 26280105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40332096000).

26280105240 is an abundant number, since it is smaller than the sum of its proper divisors (54384086760).

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

26280105240 is a wasteful number, since it uses less digits than its factorization.

26280105240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28769 (or 28765 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 26280105240 in words is "twenty-six billion, two hundred eighty million, one hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 97 120 158 194 237 291 316 388 395 474 485 582 632 776 790 948 970 1164 1185 1455 1580 1896 1940 2328 2370 2910 3160 3880 4740 5820 7663 9480 11640 15326 22989 28579 30652 38315 45978 57158 61304 76630 85737 91956 114316 114945 142895 153260 171474 183912 228632 229890 285790 306520 342948 428685 459780 571580 685896 857370 919560 1143160 1714740 2257741 2772163 3429480 4515482 5544326 6773223 8316489 9030964 11088652 11288705 13546446 13860815 16632978 18061928 22177304 22577410 27092892 27721630 33265956 33866115 41582445 45154820 54185784 55443260 66531912 67732230 83164890 90309640 110886520 135464460 166329780 219000877 270928920 332659560 438001754 657002631 876003508 1095004385 1314005262 1752007016 2190008770 2628010524 3285013155 4380017540 5256021048 6570026310 8760035080 13140052620 26280105240