Search a number
-
+
26918496066 = 23711671038443
BaseRepresentation
bin11001000100011101…
…111010011101000010
32120110222220021122210
4121010131322131002
5420112113333231
620211032442550
71642031304240
oct310435723502
976428807583
1026918496066
1110463875570
125272b49456
1326ccb44aa7
1414350a7790
15a78335a46
hex64477a742

26918496066 has 128 divisors (see below), whose sum is σ = 68792795136. Its totient is φ = 6819785280.

The previous prime is 26918496053. The next prime is 26918496079. The reversal of 26918496066 is 66069481962.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26918496053) and next prime (26918496079).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 26918495997 and 26918496015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3184041 + ... + 3192483.

It is an arithmetic number, because the mean of its divisors is an integer number (537443712).

Almost surely, 226918496066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26918496066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34396397568).

26918496066 is an abundant number, since it is smaller than the sum of its proper divisors (41874299070).

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

26918496066 is a wasteful number, since it uses less digits than its factorization.

26918496066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636.

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 26918496066 in words is "twenty-six billion, nine hundred eighteen million, four hundred ninety-six thousand, sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 103 134 154 201 206 231 309 402 462 469 618 721 737 938 1133 1407 1442 1474 2163 2211 2266 2814 3399 4326 4422 5159 6798 6901 7931 8443 10318 13802 15477 15862 16886 20703 23793 25329 30954 41406 47586 48307 50658 59101 75911 92873 96614 118202 144921 151822 177303 185746 227733 278619 289842 354606 455466 531377 557238 565681 650111 869629 1062754 1131362 1300222 1594131 1697043 1739258 1950333 2608887 3188262 3394086 3900666 3959767 5217774 6087403 6222491 7919534 9565919 11879301 12174806 12444982 18262209 18667473 19131838 23758602 28697757 36524418 37334946 43557437 57395514 58265143 66961433 87114874 116530286 130672311 133922866 174795429 200884299 261344622 349590858 401768598 407856001 640916573 815712002 1223568003 1281833146 1922749719 2447136006 3845499438 4486416011 8972832022 13459248033 26918496066