Search a number
-
+
26026001820 = 223257131588889
BaseRepresentation
bin11000001111010001…
…010100010110011100
32111011210111212201100
4120033101110112130
5411300124024240
615542311313100
71610643236220
oct301721242634
974153455640
1026026001820
1110045aaa415
12506407b790
1325b9c788a0
14138c742780
15a24cdce30
hex60f45459c

26026001820 has 144 divisors (see below), whose sum is σ = 97163801280. Its totient is φ = 5491196928.

The previous prime is 26026001803. The next prime is 26026001839. The reversal of 26026001820 is 2810062062.

26026001820 is a `hidden beast` number, since 26 + 0 + 2 + 600 + 18 + 20 = 666.

It is a super-3 number, since 3×260260018203 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778065 + ... + 810824.

It is an arithmetic number, because the mean of its divisors is an integer number (674748620).

Almost surely, 226026001820 is an apocalyptic number.

26026001820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26026001820 is an abundant number, since it is smaller than the sum of its proper divisors (71137799460).

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

26026001820 is a wasteful number, since it uses less digits than its factorization.

26026001820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588924 (or 1588919 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 26026001820 its reverse (2810062062), we get a palindrome (28836063882).

The spelling of 26026001820 in words is "twenty-six billion, twenty-six million, one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 1588889 3177778 4766667 6355556 7944445 9533334 11122223 14300001 15888890 19066668 20655557 22244446 23833335 28600002 31777780 33366669 41311114 44488892 47666670 55611115 57200004 61966671 66733338 71500005 82622228 95333340 100100007 103277785 111222230 123933342 133466676 143000010 144588899 166833345 185900013 200200014 206555570 222444460 247866684 286000020 289177798 309833355 333666690 371800026 400400028 413111140 433766697 500500035 578355596 619666710 667333380 722944495 743600052 867533394 929500065 1001000070 1239333420 1301300091 1445888990 1735066788 1859000130 2002000140 2168833485 2602600182 2891777980 3718000260 4337666970 5205200364 6506500455 8675333940 13013000910 26026001820