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20034034104320 = 21153835108221
BaseRepresentation
bin1001000111000100010010…
…11111000111100000000000
32121221020100021122010210222
410203202021133013200000
510111214200212314240
6110335301435042212
74135261020105545
oct443421137074000
977836307563728
1020034034104320
116424427a69385
1222b68915a0368
13b2428037b6c2
144d391c376bcc
1524b1e7c1eeb5
hex1238897c7800

20034034104320 has 96 divisors (see below), whose sum is σ = 48195461583360. Its totient is φ = 7992688803840.

The previous prime is 20034034104299. The next prime is 20034034104347. The reversal of 20034034104320 is 2340143043002.

It is a self number, because there is not a number n which added to its sum of digits gives 20034034104320.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1367810 + ... + 6476030.

It is an arithmetic number, because the mean of its divisors is an integer number (502036058160).

Almost surely, 220034034104320 is an apocalyptic number.

20034034104320 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 20034034104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24097730791680).

20034034104320 is an abundant number, since it is smaller than the sum of its proper divisors (28161427479040).

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

20034034104320 is an equidigital number, since it uses as much as digits as its factorization.

20034034104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108631 (or 5108611 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 20034034104320 its reverse (2340143043002), we get a palindrome (22374177147322).

The spelling of 20034034104320 in words is "twenty trillion, thirty-four billion, thirty-four million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 383 512 640 766 1024 1280 1532 1915 2048 2560 3064 3830 5120 6128 7660 10240 12256 15320 24512 30640 49024 61280 98048 122560 196096 245120 392192 490240 784384 980480 1960960 3921920 5108221 10216442 20432884 25541105 40865768 51082210 81731536 102164420 163463072 204328840 326926144 408657680 653852288 817315360 1307704576 1634630720 1956448643 2615409152 3269261440 3912897286 5230818304 6538522880 7825794572 9782243215 10461636608 13077045760 15651589144 19564486430 26154091520 31303178288 39128972860 52308183040 62606356576 78257945720 125212713152 156515891440 250425426304 313031782880 500850852608 626063565760 1001701705216 1252127131520 2003403410432 2504254263040 4006806820864 5008508526080 10017017052160 20034034104320