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26666936016 = 2437213782759
BaseRepresentation
bin11000110101011110…
…010010011011010000
32112211110112201010220
4120311132102123100
5414103213423031
620130044553040
71632555134100
oct306536223320
975743481126
1026666936016
11103448767a6
125202852780
13268c9a72a6
14140d903200
15a611e4596
hex6357926d0

26666936016 has 120 divisors (see below), whose sum is σ = 80722779840. Its totient is φ = 7563419136.

The previous prime is 26666935991. The next prime is 26666936027. The reversal of 26666936016 is 61063966662.

It is a super-2 number, since 2×266669360162 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26666936016.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 280845 + ... + 363603.

It is an arithmetic number, because the mean of its divisors is an integer number (672689832).

Almost surely, 226666936016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26666936016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40361389920).

26666936016 is an abundant number, since it is smaller than the sum of its proper divisors (54055843824).

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

26666936016 is a wasteful number, since it uses less digits than its factorization.

26666936016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82921 (or 82908 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 51.

The spelling of 26666936016 in words is "twenty-six billion, six hundred sixty-six million, nine hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 137 147 168 196 274 294 336 392 411 548 588 784 822 959 1096 1176 1644 1918 2192 2352 2877 3288 3836 5754 6576 6713 7672 11508 13426 15344 20139 23016 26852 40278 46032 53704 80556 82759 107408 161112 165518 248277 322224 331036 496554 579313 662072 993108 1158626 1324144 1737939 1986216 2317252 3475878 3972432 4055191 4634504 6951756 8110382 9269008 11337983 12165573 13903512 16220764 22675966 24331146 27807024 32441528 34013949 45351932 48662292 64883056 68027898 79365881 90703864 97324584 136055796 158731762 181407728 194649168 238097643 272111592 317463524 476195286 544223184 555561167 634927048 952390572 1111122334 1269854096 1666683501 1904781144 2222244668 3333367002 3809562288 4444489336 6666734004 8888978672 13333468008 26666936016