Search a number
-
+
26093993280 = 263597280219
BaseRepresentation
bin11000010011010100…
…101011110101000000
32111100112110012110120
4120103110223311000
5411420030241110
615553140500240
71612430166105
oct302324536500
974315405416
1026093993280
1110080419403
1250829aa680
1325cb093114
1413977a0aac
15a2ac6d870
hex61352bd40

26093993280 has 112 divisors (see below), whose sum is σ = 83702834880. Its totient is φ = 6886637568.

The previous prime is 26093993267. The next prime is 26093993287. The reversal of 26093993280 is 8239939062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26093993287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46990 + ... + 233229.

It is an arithmetic number, because the mean of its divisors is an integer number (747346740).

Almost surely, 226093993280 is an apocalyptic number.

26093993280 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 26093993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41851417440).

26093993280 is an abundant number, since it is smaller than the sum of its proper divisors (57608841600).

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

26093993280 is a wasteful number, since it uses less digits than its factorization.

26093993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280336 (or 280326 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 26093993280 in words is "twenty-six billion, ninety-three million, nine hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 160 192 194 240 291 320 388 480 485 582 776 960 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11640 15520 18624 23280 31040 46560 93120 280219 560438 840657 1120876 1401095 1681314 2241752 2802190 3362628 4203285 4483504 5604380 6725256 8406570 8967008 11208760 13450512 16813140 17934016 22417520 26901024 27181243 33626280 44835040 53802048 54362486 67252560 81543729 89670080 108724972 134505120 135906215 163087458 217449944 269010240 271812430 326174916 407718645 434899888 543624860 652349832 815437290 869799776 1087249720 1304699664 1630874580 1739599552 2174499440 2609399328 3261749160 4348998880 5218798656 6523498320 8697997760 13046996640 26093993280