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20301252432640 = 28547991340519
BaseRepresentation
bin1001001110110110000001…
…11100001001001100000000
32122212210002012001200222221
410213123000330021030000
510130103431110321030
6111102133331140424
74163500650321334
oct447330074111400
978783065050887
1020301252432640
116517792822533
12233a628444714
13b4352773453a
1450282b85b7c4
1525313748ae7a
hex1276c0f09300

20301252432640 has 144 divisors (see below), whose sum is σ = 49712738181120. Its totient is φ = 7939681136640.

The previous prime is 20301252432631. The next prime is 20301252432667. The reversal of 20301252432640 is 4623425210302.

It is a junction number, because it is equal to n+sod(n) for n = 20301252432596 and 20301252432605.

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, 59448301 + ... + 59788819.

It is an arithmetic number, because the mean of its divisors is an integer number (345227348480).

Almost surely, 220301252432640 is an apocalyptic number.

20301252432640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20301252432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24856369090560).

20301252432640 is an abundant number, since it is smaller than the sum of its proper divisors (29411485748480).

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

20301252432640 is an equidigital number, since it uses as much as digits as its factorization.

20301252432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341578 (or 341564 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 20301252432640 its reverse (4623425210302), we get a palindrome (24924677642942).

The spelling of 20301252432640 in words is "twenty trillion, three hundred one billion, two hundred fifty-two million, four hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 256 320 376 470 640 752 940 991 1280 1504 1880 1982 3008 3760 3964 4955 6016 7520 7928 9910 12032 15040 15856 19820 30080 31712 39640 46577 60160 63424 79280 93154 126848 158560 186308 232885 253696 317120 340519 372616 465770 634240 681038 745232 931540 1268480 1362076 1490464 1702595 1863080 2724152 2980928 3405190 3726160 5448304 5961856 6810380 7452320 10896608 11923712 13620760 14904640 16004393 21793216 27241520 29809280 32008786 43586432 54483040 59618560 64017572 80021965 87172864 108966080 128035144 160043930 217932160 256070288 320087860 337454329 435864320 512140576 640175720 674908658 1024281152 1280351440 1349817316 1687271645 2048562304 2560702880 2699634632 3374543290 4097124608 5121405760 5399269264 6749086580 10242811520 10798538528 13498173160 15860353463 20485623040 21597077056 26996346320 31720706926 43194154112 53992692640 63441413852 79301767315 86388308224 107985385280 126882827704 158603534630 215970770560 253765655408 317207069260 431941541120 507531310816 634414138520 1015062621632 1268828277040 2030125243264 2537656554080 4060250486528 5075313108160 10150626216320 20301252432640