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26181116808 = 23371153267307
BaseRepresentation
bin11000011000100001…
…000010001110001000
32111120121101112110220
4120120201002032020
5412104331214213
620005532110040
71614535551420
oct303041021610
974517345426
1026181116808
1110115615620
1250a8005320
1326131489c2
1413a519d480
15a3372ce23
hex618842388

26181116808 has 128 divisors (see below), whose sum is σ = 83143480320. Its totient is φ = 6671957760.

The previous prime is 26181116807. The next prime is 26181116909. The reversal of 26181116808 is 80861118162.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 26181116808.

It is not an unprimeable number, because it can be changed into a prime (26181116807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35710 + ... + 231597.

It is an arithmetic number, because the mean of its divisors is an integer number (649558440).

Almost surely, 226181116808 is an apocalyptic number.

26181116808 is a gapful number since it is divisible by the number (28) 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 26181116808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41571740160).

26181116808 is an abundant number, since it is smaller than the sum of its proper divisors (56962363512).

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

26181116808 is a wasteful number, since it uses less digits than its factorization.

26181116808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267387 (or 267383 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The spelling of 26181116808 in words is "twenty-six billion, one hundred eighty-one million, one hundred sixteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 53 56 66 77 84 88 106 132 154 159 168 212 231 264 308 318 371 424 462 583 616 636 742 924 1113 1166 1272 1484 1749 1848 2226 2332 2968 3498 4081 4452 4664 6996 8162 8904 12243 13992 16324 24486 32648 48972 97944 267307 534614 801921 1069228 1603842 1871149 2138456 2940377 3207684 3742298 5613447 5880754 6415368 7484596 8821131 11226894 11761508 14167271 14969192 17642262 20582639 22453788 23523016 28334542 35284524 41165278 42501813 44907576 56669084 61747917 70569048 82330556 85003626 99170897 113338168 123495834 155839981 164661112 170007252 198341794 246991668 297512691 311679962 340014504 396683588 467519943 493983336 595025382 623359924 793367176 935039886 1090879867 1190050764 1246719848 1870079772 2181759734 2380101528 3272639601 3740159544 4363519468 6545279202 8727038936 13090558404 26181116808