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26828336288 = 251327367957
BaseRepresentation
bin11000111111000101…
…111110110010100000
32120020201020200200202
4120333011332302200
5414421023230123
620154052204332
71636555044605
oct307705766240
976221220622
1026828336288
1110417995156
1252489096a8
1326b7268200
1414271186ac
15a70476a28
hex63f17eca0

26828336288 has 72 divisors (see below), whose sum is σ = 57978095868. Its totient is φ = 12212508672.

The previous prime is 26828336279. The next prime is 26828336291. The reversal of 26828336288 is 88263382862.

It can be written as a sum of positive squares in 6 ways, for example, as 458473744 + 26369862544 = 21412^2 + 162388^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 360806 + ... + 428762.

Almost surely, 226828336288 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 26828336288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28989047934).

26828336288 is an abundant number, since it is smaller than the sum of its proper divisors (31149759580).

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

26828336288 is a wasteful number, since it uses less digits than its factorization.

26828336288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68066 (or 68045 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 56.

The spelling of 26828336288 in words is "twenty-six billion, eight hundred twenty-eight million, three hundred thirty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 169 208 292 338 416 584 676 949 1168 1352 1898 2336 2704 3796 5408 7592 12337 15184 24674 30368 49348 67957 98696 135914 197392 271828 394784 543656 883441 1087312 1766882 2174624 3533764 4960861 7067528 9921722 11484733 14135056 19843444 22969466 28270112 39686888 45938932 64491193 79373776 91877864 128982386 158747552 183755728 257964772 367511456 515929544 838385509 1031859088 1676771018 2063718176 3353542036 6707084072 13414168144 26828336288