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27328290336 = 2532214344279
BaseRepresentation
bin11001011100111001…
…001001111000100000
32121112112222222201100
4121130321021320200
5421432020242321
620315432034400
71655135430564
oct313471117040
977475888640
1027328290336
1110654120016
125368232a00
132766a053c9
14147369b6a4
15a9e2d1326
hex65ce49e20

27328290336 has 72 divisors (see below), whose sum is σ = 77752846080. Its totient is φ = 9104973696.

The previous prime is 27328290323. The next prime is 27328290337. The reversal of 27328290336 is 63309282372.

27328290336 is a `hidden beast` number, since 2 + 7 + 3 + 28 + 290 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 27328290291 and 27328290300.

It is not an unprimeable number, because it can be changed into a prime (27328290337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595045 + ... + 639323.

It is an arithmetic number, because the mean of its divisors is an integer number (1079900640).

Almost surely, 227328290336 is an apocalyptic number.

It is an amenable number.

27328290336 is an abundant number, since it is smaller than the sum of its proper divisors (50424555744).

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

27328290336 is a wasteful number, since it uses less digits than its factorization.

27328290336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46438 (or 46427 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 27328290336 in words is "twenty-seven billion, three hundred twenty-eight million, two hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2143 4286 6429 8572 12858 17144 19287 25716 34288 38574 44279 51432 68576 77148 88558 102864 132837 154296 177116 205728 265674 308592 354232 398511 531348 617184 708464 797022 1062696 1416928 1594044 2125392 3188088 4250784 6376176 12752352 94889897 189779794 284669691 379559588 569339382 759119176 854009073 1138678764 1518238352 1708018146 2277357528 3036476704 3416036292 4554715056 6832072584 9109430112 13664145168 27328290336