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20321983458432 = 27342410781307
BaseRepresentation
bin1001001111011100101001…
…00110101110110010000000
32122221202120222010221010000
410213232110212232302000
510130423410231132212
6111115442413040000
74165133460166635
oct447562446566200
978852528127100
1020321983458432
116525560961aa7
122342653186000
13b4547c6c23c6
14503836c7618c
1525394c4a71dc
hex127b949aec80

20321983458432 has 160 divisors (see below), whose sum is σ = 60481146060720. Its totient is φ = 6773630178816.

The previous prime is 20321983458397. The next prime is 20321983458433. The reversal of 20321983458432 is 23485438912302.

20321983458432 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 198 + 345 + 84 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20321983458433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249900723 + ... + 249982029.

Almost surely, 220321983458432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20321983458432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240573030360).

20321983458432 is an abundant number, since it is smaller than the sum of its proper divisors (40159162602288).

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

20321983458432 is an equidigital number, since it uses as much as digits as its factorization.

20321983458432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105440 (or 105419 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 20321983458432 in words is "twenty trillion, three hundred twenty-one billion, nine hundred eighty-three million, four hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 24107 48214 72321 81307 96428 144642 162614 192856 216963 243921 289284 325228 385712 433926 487842 578568 650456 650889 731763 771424 867852 975684 1157136 1300912 1301778 1463526 1542848 1735704 1951368 1952667 2195289 2314272 2601824 2603556 2927052 3085696 3471408 3902736 3905334 4390578 4628544 5203648 5207112 5854104 6585867 6942816 7805472 7810668 8781156 9257088 10407296 10414224 11708208 13171734 13885632 15610944 15621336 17562312 20828448 23416416 26343468 27771264 31221888 31242672 35124624 41656896 46832832 52686936 62485344 70249248 83313792 93665664 105373872 124970688 140498496 210747744 249941376 280996992 421495488 842990976 1960067849 3920135698 5880203547 7840271396 11760407094 15680542792 17640610641 23520814188 31361085584 35281221282 47041628376 52921831923 62722171168 70562442564 94083256752 105843663846 125444342336 141124885128 158765495769 188166513504 211687327692 250888684672 282249770256 317530991538 376333027008 423374655384 564499540512 635061983076 752666054016 846749310768 1128999081024 1270123966152 1693498621536 2257998162048 2540247932304 3386997243072 5080495864608 6773994486144 10160991729216 20321983458432