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3282349908768 = 253724117018987
BaseRepresentation
bin101111110000111011010…
…011001110001100100000
3102121210022121102202202120
4233300323103032030200
5412234223034040033
610551520221544240
7456066455611500
oct57607323161440
912553277382676
103282349908768
111056044a53217
12450184415080
131aa6a7a81a38
14b4c1bc93a00
155a5ac6161b3
hex2fc3b4ce320

3282349908768 has 144 divisors (see below), whose sum is σ = 10267351232544. Its totient is φ = 914940687360.

The previous prime is 3282349908743. The next prime is 3282349908779. The reversal of 3282349908768 is 8678099432823.

3282349908768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8316630 + ... + 8702357.

It is an arithmetic number, because the mean of its divisors is an integer number (71301050226).

Almost surely, 23282349908768 is an apocalyptic number.

It is an amenable number.

3282349908768 is an abundant number, since it is smaller than the sum of its proper divisors (6985001323776).

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

3282349908768 is a wasteful number, since it uses less digits than its factorization.

3282349908768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17019055 (or 17019040 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 69.

The spelling of 3282349908768 in words is "three trillion, two hundred eighty-two billion, three hundred forty-nine million, nine hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 82 84 96 98 112 123 147 164 168 196 224 246 287 294 328 336 392 492 574 588 656 672 784 861 984 1148 1176 1312 1568 1722 1968 2009 2296 2352 3444 3936 4018 4592 4704 6027 6888 8036 9184 12054 13776 16072 24108 27552 32144 48216 64288 96432 192864 17018987 34037974 51056961 68075948 102113922 119132909 136151896 204227844 238265818 272303792 357398727 408455688 476531636 544607584 697778467 714797454 816911376 833930363 953063272 1395556934 1429594908 1633822752 1667860726 1906126544 2093335401 2501791089 2791113868 2859189816 3335721452 3812253088 4186670802 4884449269 5003582178 5582227736 5718379632 6671442904 8373341604 9768898538 10007164356 11164455472 11436759264 13342885808 14653347807 16746683208 19537797076 20014328712 22328910944 26685771616 29306695614 33493366416 34191144883 39075594152 40028657424 58613391228 66986732832 68382289766 78151188304 80057314848 102573434649 117226782456 136764579532 156302376608 205146869298 234453564912 273529159064 410293738596 468907129824 547058318128 820587477192 1094116636256 1641174954384 3282349908768