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20063789820 = 223251914571277
BaseRepresentation
bin10010101011111001…
…010010001011111100
31220210021120010102200
4102223321102023330
5312042312233240
613114524351500
71310125254024
oct225371221374
956707503380
1020063789820
118566539288
123a7b3a5590
131b799808a9
14d8496ca84
157c666b930
hex4abe522fc

20063789820 has 144 divisors (see below), whose sum is σ = 61360685568. Its totient is φ = 5306526720.

The previous prime is 20063789791. The next prime is 20063789821. The reversal of 20063789820 is 2898736002.

20063789820 is a `hidden beast` number, since 2 + 0 + 0 + 637 + 8 + 9 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×200637898202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20063789821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15711022 + ... + 15712298.

It is an arithmetic number, because the mean of its divisors is an integer number (426115872).

Almost surely, 220063789820 is an apocalyptic number.

20063789820 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 20063789820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30680342784).

20063789820 is an abundant number, since it is smaller than the sum of its proper divisors (41296895748).

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

20063789820 is a wasteful number, since it uses less digits than its factorization.

20063789820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20063789820 in words is "twenty billion, sixty-three million, seven hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 457 573 764 914 955 1146 1277 1371 1719 1828 1910 2285 2292 2554 2742 2865 3438 3820 3831 4113 4570 5108 5484 5730 6385 6855 6876 7662 8226 8595 9140 11460 11493 12770 13710 15324 16452 17190 19155 20565 22986 25540 27420 34380 38310 41130 45972 57465 76620 82260 87287 114930 174574 229860 243907 261861 349148 436435 487814 523722 583589 731721 785583 872870 975628 1047444 1167178 1219535 1309305 1463442 1571166 1745740 1750767 2195163 2334356 2439070 2618610 2917945 2926884 3142332 3501534 3658605 3927915 4390326 4878140 5237220 5252301 5835890 7003068 7317210 7855830 8753835 8780652 10504602 10975815 11671780 14634420 15711660 17507670 21009204 21951630 26261505 35015340 43903260 52523010 105046020 111465499 222930998 334396497 445861996 557327495 668792994 1003189491 1114654990 1337585988 1671982485 2006378982 2229309980 3343964970 4012757964 5015947455 6687929940 10031894910 20063789820