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11283338377920 = 263571679068211
BaseRepresentation
bin1010010000110001101101…
…1000000011101011000000
31110221200021020210121101110
42210030123120003223000
52434331234111043140
635555254420203320
72243123433515220
oct244143330035300
943850236717343
1011283338377920
1136602673a3a04
121322953239540
1363b0253a678b
142b018b91c080
1514878b231380
hexa431b603ac0

11283338377920 has 112 divisors (see below), whose sum is σ = 40942399281408. Its totient is φ = 2579048770560.

The previous prime is 11283338377907. The next prime is 11283338377931. The reversal of 11283338377920 is 2977383338211.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 839527386 + ... + 839540825.

Almost surely, 211283338377920 is an apocalyptic number.

11283338377920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11283338377920 is an abundant number, since it is smaller than the sum of its proper divisors (29659060903488).

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

11283338377920 is a wasteful number, since it uses less digits than its factorization.

11283338377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679068238 (or 1679068228 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 11283338377920 in words is "eleven trillion, two hundred eighty-three billion, three hundred thirty-eight million, three hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 1679068211 3358136422 5037204633 6716272844 8395341055 10074409266 11753477477 13432545688 16790682110 20148818532 23506954954 25186023165 26865091376 33581364220 35260432431 40297637064 47013909908 50372046330 53730182752 58767387385 67162728440 70520864862 80595274128 94027819816 100744092660 107460365504 117534774770 134325456880 141041729724 161190548256 176302162155 188055639632 201488185320 235069549540 268650913760 282083459448 322381096512 352604324310 376111279264 402976370640 470139099080 537301827520 564166918896 705208648620 752222558528 805952741280 940278198160 1128333837792 1410417297240 1611905482560 1880556396320 2256667675584 2820834594480 3761112792640 5641669188960 11283338377920