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27681133320 = 23335171507687
BaseRepresentation
bin11001110001111011…
…001001001100001000
32122110010221021022000
4121301323021030020
5423142332231240
620414434431000
71666651515411
oct316173111410
978403837260
1027681133320
1110815307195
125446432460
1327c1b45639
1414a84a8808
15ac027c430
hex671ec9308

27681133320 has 128 divisors (see below), whose sum is σ = 97698182400. Its totient is φ = 6947417088.

The previous prime is 27681133297. The next prime is 27681133357. The reversal of 27681133320 is 2333118672.

It is a super-2 number, since 2×276811333202 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735484 + ... + 772203.

It is an arithmetic number, because the mean of its divisors is an integer number (763267050).

Almost surely, 227681133320 is an apocalyptic number.

27681133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27681133320 is an abundant number, since it is smaller than the sum of its proper divisors (70017049080).

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

27681133320 is a wasteful number, since it uses less digits than its factorization.

27681133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507724 (or 1507714 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 27681133320 in words is "twenty-seven billion, six hundred eighty-one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 1507687 3015374 4523061 6030748 7538435 9046122 12061496 13569183 15076870 18092244 22615305 25630679 27138366 30153740 36184488 40707549 45230610 51261358 54276732 60307480 67845915 76892037 81415098 90461220 102522716 108553464 128153395 135691830 153784074 162830196 180922440 203537745 205045432 230676111 256306790 271383660 307568148 325660392 384460185 407075490 461352222 512613580 542767320 615136296 692028333 768920370 814150980 922704444 1025227160 1153380555 1384056666 1537840740 1628301960 1845408888 2306761110 2768113332 3075681480 3460141665 4613522220 5536226664 6920283330 9227044440 13840566660 27681133320