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26560220328 = 2333613176359
BaseRepresentation
bin11000101111000111…
…001100110010101000
32112120000201222202000
4120233013030302220
5413343404022303
620111313411000
71630121101455
oct305707146250
975500658660
1026560220328
111029a608714
125192b69a60
132673851b05
1413dd68482c
15a56b64da3
hex62f1ccca8

26560220328 has 128 divisors (see below), whose sum is σ = 75236256000. Its totient is φ = 8679432960.

The previous prime is 26560220237. The next prime is 26560220329. The reversal of 26560220328 is 82302206562.

26560220328 is a `hidden beast` number, since 2 + 6 + 5 + 602 + 20 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26560220292 and 26560220301.

It is not an unprimeable number, because it can be changed into a prime (26560220329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4173613 + ... + 4179971.

It is an arithmetic number, because the mean of its divisors is an integer number (587783250).

Almost surely, 226560220328 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 26560220328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37618128000).

26560220328 is an abundant number, since it is smaller than the sum of its proper divisors (48676035672).

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

26560220328 is a wasteful number, since it uses less digits than its factorization.

26560220328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6752 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 26560220328 in words is "twenty-six billion, five hundred sixty million, two hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 317 366 488 549 634 732 951 1098 1268 1464 1647 1902 2196 2536 2853 3294 3804 4392 5706 6359 6588 7608 8559 11412 12718 13176 17118 19077 19337 22824 25436 34236 38154 38674 50872 57231 58011 68472 76308 77348 114462 116022 152616 154696 171693 174033 228924 232044 343386 348066 387899 457848 464088 522099 686772 696132 775798 1044198 1163697 1373544 1392264 1551596 2015803 2088396 2327394 3103192 3491091 4031606 4176792 4654788 6047409 6982182 8063212 9309576 10473273 12094818 13964364 16126424 18142227 20946546 24189636 27928728 36284454 41893092 48379272 54426681 72568908 83786184 108853362 122963983 145137816 217706724 245927966 368891949 435413448 491855932 737783898 983711864 1106675847 1475567796 2213351694 2951135592 3320027541 4426703388 6640055082 8853406776 13280110164 26560220328