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13636433974016 = 287193710824491
BaseRepresentation
bin1100011001101111101011…
…0011011001001100000000
31210021122000112022020020202
43012123322303121030000
53241404404044132031
645000254041224332
72605125355205120
oct306337263311400
953248015266222
1013636433974016
1143881a7528217
1216429ba1920a8
1377bbaa951b19
1435201500cc80
15189aacddb2cb
hexc66facd9300

13636433974016 has 144 divisors (see below), whose sum is σ = 33630397704960. Its totient is φ = 5386958991360.

The previous prime is 13636433974003. The next prime is 13636433974039. The reversal of 13636433974016 is 61047933463631.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4152470 + ... + 6672021.

Almost surely, 213636433974016 is an apocalyptic number.

13636433974016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13636433974016 is an abundant number, since it is smaller than the sum of its proper divisors (19993963730944).

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

13636433974016 is a wasteful number, since it uses less digits than its factorization.

13636433974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10824570 (or 10824556 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 56.

The spelling of 13636433974016 in words is "thirteen trillion, six hundred thirty-six billion, four hundred thirty-three million, nine hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 64 74 76 112 128 133 148 152 224 256 259 266 296 304 448 518 532 592 608 703 896 1036 1064 1184 1216 1406 1792 2072 2128 2368 2432 2812 4144 4256 4736 4864 4921 5624 8288 8512 9472 9842 11248 16576 17024 19684 22496 33152 34048 39368 44992 66304 78736 89984 157472 179968 314944 629888 1259776 10824491 21648982 43297964 75771437 86595928 151542874 173191856 205665329 303085748 346383712 400506167 411330658 606171496 692767424 801012334 822661316 1212342992 1385534848 1439657303 1602024668 1645322632 2424685984 2771069696 2803543169 2879314606 3204049336 3290645264 4849371968 5607086338 5758629212 6408098672 6581290528 7609617173 9698743936 11214172676 11517258424 12816197344 13162581056 15219234346 19397487872 22428345352 23034516848 25632394688 26325162112 30438468692 44856690704 46069033696 51264789376 52650324224 53267320211 60876937384 89713381408 92138067392 102529578752 106534640422 121753874768 179426762816 184276134784 213069280844 243507749536 358853525632 368552269568 426138561688 487015499072 717707051264 852277123376 974030998144 1704554246752 1948061996288 3409108493504 6818216987008 13636433974016