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28266036169248 = 2532147376659833
BaseRepresentation
bin1100110110101001100110…
…00010111000101000100000
310201002012120122211120022200
412123110303002320220200
512201102320224403443
6140041123204333200
75645103504123003
oct633246302705040
9121065518746280
1028266036169248
119008616583859
1232061923a4200
1312a0625375007
146da124db753a
153403e78a2dd3
hex19b5330b8a20

28266036169248 has 72 divisors (see below), whose sum is σ = 80387006829948. Its totient is φ = 9421371297792.

The previous prime is 28266036169229. The next prime is 28266036169367. The reversal of 28266036169248 is 84296163066282.

It is a happy number.

28266036169248 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 6 + 0 + 3 + 616 + 9 + 2 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28247226595344 + 18809573904 = 5314812^2 + 137148^2 .

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

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, 914340 + ... + 7574172.

Almost surely, 228266036169248 is an apocalyptic number.

It is an amenable number.

28266036169248 is an abundant number, since it is smaller than the sum of its proper divisors (52120970660700).

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

28266036169248 is a wasteful number, since it uses less digits than its factorization.

28266036169248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674586 (or 6674575 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 28266036169248 in words is "twenty-eight trillion, two hundred sixty-six billion, thirty-six million, one hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14737 29474 44211 58948 88422 117896 132633 176844 235792 265266 353688 471584 530532 707376 1061064 1414752 2122128 4244256 6659833 13319666 19979499 26639332 39958998 53278664 59938497 79917996 106557328 119876994 159835992 213114656 239753988 319671984 479507976 639343968 959015952 1918031904 98145958921 196291917842 294437876763 392583835684 588875753526 785167671368 883313630289 1177751507052 1570335342736 1766627260578 2355503014104 3140670685472 3533254521156 4711006028208 7066509042312 9422012056416 14133018084624 28266036169248