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20059782164298 = 23723417747737
BaseRepresentation
bin1001000111110100010000…
…01100001010111101001010
32122000200210201011010000000
410203322020030022331022
510112124413213224143
6110355200421223430
74140162050026032
oct443721014127512
978020721133000
1020059782164298
11643434008a998
1222bb878561b76
13b26824880656
144d4c81c088c2
1524bc03409bd3
hex123e8830af4a

20059782164298 has 128 divisors (see below), whose sum is σ = 47101961802240. Its totient is φ = 6394207412736.

The previous prime is 20059782164291. The next prime is 20059782164299. The reversal of 20059782164298 is 89246128795002.

20059782164298 is a `hidden beast` number, since 2 + 0 + 0 + 597 + 8 + 2 + 16 + 4 + 29 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (20059782164291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420190686 + ... + 420238422.

It is an arithmetic number, because the mean of its divisors is an integer number (367984076580).

Almost surely, 220059782164298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20059782164298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23550980901120).

20059782164298 is an abundant number, since it is smaller than the sum of its proper divisors (27042179637942).

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

20059782164298 is an equidigital number, since it uses as much as digits as its factorization.

20059782164298 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51960 (or 51942 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 20059782164298 in words is "twenty trillion, fifty-nine billion, seven hundred eighty-two million, one hundred sixty-four thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 729 1242 1458 1863 2187 3726 4177 4374 5589 8354 11178 12531 16767 25062 33534 37593 47737 50301 75186 95474 96071 100602 112779 143211 192142 225558 286422 288213 338337 429633 576426 676674 859266 864639 1015011 1097951 1288899 1729278 2030022 2195902 2577798 2593917 3045033 3293853 3866697 5187834 6090066 6587706 7733394 7781751 9135099 9881559 11600091 15563502 18270198 19763118 23200182 23345253 29644677 34800273 46690506 59289354 69600546 70035759 88934031 104400819 140071518 177868062 199397449 208801638 210107277 266802093 398794898 420214554 533604186 598192347 800406279 1196384694 1600812558 1794577041 2401218837 3589154082 4586141327 4802437674 5383731123 9172282654 10767462246 13758423981 16151193369 27516847962 32302386738 41275271943 48453580107 82550543886 96907160214 123825815829 145360740321 247651631658 290721480642 371477447487 436082220963 742954894974 872164441926 1114432342461 2228864684922 3343297027383 6686594054766 10029891082149 20059782164298