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26684051268 = 22377116327449
BaseRepresentation
bin11000110110011111…
…100100111101000100
32112212122202020212010
4120312133210331010
5414122104120033
620131455454220
71633153456560
oct306637447504
975778666763
1026684051268
11103534a6736
125208527370
1326933ba664
141411cba6a0
15a62975863
hex6367e4f44

26684051268 has 96 divisors (see below), whose sum is σ = 72605030400. Its totient is φ = 7470247680.

The previous prime is 26684051267. The next prime is 26684051291. The reversal of 26684051268 is 86215048662.

It is not an unprimeable number, because it can be changed into a prime (26684051263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958408 + ... + 985856.

It is an arithmetic number, because the mean of its divisors is an integer number (756302400).

Almost surely, 226684051268 is an apocalyptic number.

26684051268 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 26684051268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36302515200).

26684051268 is an abundant number, since it is smaller than the sum of its proper divisors (45920979132).

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

26684051268 is a wasteful number, since it uses less digits than its factorization.

26684051268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27697 (or 27695 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 26684051268 in words is "twenty-six billion, six hundred eighty-four million, fifty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 163 213 284 326 426 489 497 652 852 978 994 1141 1491 1956 1988 2282 2982 3423 4564 5964 6846 11573 13692 23146 27449 34719 46292 54898 69438 81011 82347 109796 138876 162022 164694 192143 243033 324044 329388 384286 486066 576429 768572 972132 1152858 1948879 2305716 3897758 4474187 5846637 7795516 8948374 11693274 13422561 13642153 17896748 23386548 26845122 27284306 31319309 40926459 53690244 54568612 62638618 81852918 93957927 125277236 163705836 187915854 317667277 375831708 635334554 953001831 1270669108 1906003662 2223670939 3812007324 4447341878 6671012817 8894683756 13342025634 26684051268