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27328126320 = 24325113450521
BaseRepresentation
bin11001011100111000…
…100001110101110000
32121112112200122201200
4121130320201311300
5421432000020240
620315424331200
71655134145445
oct313470416560
977475618650
1027328126320
1110654018870
125368173b00
132766978861
1414736579cc
15a9e29c930
hex65ce21d70

27328126320 has 120 divisors (see below), whose sum is σ = 100120346352. Its totient is φ = 6624998400.

The previous prime is 27328126289. The next prime is 27328126321. The reversal of 27328126320 is 2362182372.

27328126320 is a `hidden beast` number, since 2 + 7 + 3 + 2 + 8 + 12 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27328126321) 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 23 ways as a sum of consecutive naturals, for example, 1717341 + ... + 1733180.

Almost surely, 227328126320 is an apocalyptic number.

27328126320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27328126320 is an abundant number, since it is smaller than the sum of its proper divisors (72792220032).

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

27328126320 is a wasteful number, since it uses less digits than its factorization.

27328126320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450551 (or 3450542 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 27328126320 in words is "twenty-seven billion, three hundred twenty-eight million, one hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 3450521 6901042 10351563 13802084 17252605 20703126 27604168 31054689 34505210 37955731 41406252 51757815 55208336 62109378 69010420 75911462 82812504 103515630 113867193 124218756 138020840 151822924 155273445 165625008 189778655 207031260 227734386 248437512 276041680 303645848 310546890 341601579 379557310 414062520 455468772 496875024 569335965 607291696 621093780 683203158 759114620 828125040 910937544 1138671930 1242187560 1366406316 1518229240 1708007895 1821875088 2277343860 2484375120 2732812632 3036458480 3416015790 4554687720 5465625264 6832031580 9109375440 13664063160 27328126320