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20330308450944 = 273323924613441
BaseRepresentation
bin1001001111101100001001…
…10100000011101010000000
32122222120002011002100221000
410213312010310003222000
510131042432430412234
6111123340442332000
74165546665361062
oct447660464035200
978876064070830
1020330308450944
1165290431240a8
1223441971ba000
13b461a8373c8b
14503dc677b732
15253c8829b899
hex127d84d03a80

20330308450944 has 128 divisors (see below), whose sum is σ = 60253706016000. Its totient is φ = 6748414525440.

The previous prime is 20330308450909. The next prime is 20330308450957. The reversal of 20330308450944 is 44905480303302.

20330308450944 is a `hidden beast` number, since 2 + 0 + 3 + 30 + 30 + 84 + 509 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×203303084509442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20330308450944.

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, 11480737 + ... + 13132704.

It is an arithmetic number, because the mean of its divisors is an integer number (470732078250).

Almost surely, 220330308450944 is an apocalyptic number.

20330308450944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20330308450944 is an abundant number, since it is smaller than the sum of its proper divisors (39923397565056).

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

20330308450944 is a wasteful number, since it uses less digits than its factorization.

20330308450944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24613703 (or 24613685 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 20330308450944 in words is "twenty trillion, three hundred thirty billion, three hundred eight million, four hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 239 288 384 432 478 576 717 864 956 1152 1434 1728 1912 2151 2868 3456 3824 4302 5736 6453 7648 8604 11472 12906 15296 17208 22944 25812 30592 34416 45888 51624 68832 91776 103248 137664 206496 275328 412992 825984 24613441 49226882 73840323 98453764 147680646 196907528 221520969 295361292 393815056 443041938 590722584 664562907 787630112 886083876 1181445168 1329125814 1575260224 1772167752 2362890336 2658251628 3150520448 3544335504 4725780672 5316503256 5882612399 7088671008 9451561344 10633006512 11765224798 14177342016 17647837197 21266013024 23530449596 28354684032 35295674394 42532026048 47060899192 52943511591 70591348788 85064052096 94121798384 105887023182 141182697576 158830534773 188243596768 211774046364 282365395152 317661069546 376487193536 423548092728 564730790304 635322139092 752974387072 847096185456 1129461580608 1270644278184 1694192370912 2258923161216 2541288556368 3388384741824 5082577112736 6776769483648 10165154225472 20330308450944