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20213308286800 = 2452311907854801
BaseRepresentation
bin1001001100010010001110…
…00011110110011101010000
32122120101002012122012121021
410212021013003312131100
510122133323410134200
6110553510551005224
74154235423365566
oct446110703663520
978511065565537
1020213308286800
116493463628072
122325584069814
13b38150814515
144dc4879d7a36
15250bdb85641a
hex1262470f6750

20213308286800 has 120 divisors (see below), whose sum is σ = 50155350066432. Its totient is φ = 7820394240000.

The previous prime is 20213308286779. The next prime is 20213308286827. The reversal of 20213308286800 is 868280331202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23219400 + ... + 24074200.

Almost surely, 220213308286800 is an apocalyptic number.

20213308286800 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 20213308286800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25077675033216).

20213308286800 is an abundant number, since it is smaller than the sum of its proper divisors (29942041779632).

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

20213308286800 is a wasteful number, since it uses less digits than its factorization.

20213308286800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856757 (or 856746 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 20213308286800 in words is "twenty trillion, two hundred thirteen billion, three hundred eight million, two hundred eighty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 1907 2480 3100 3814 6200 7628 9535 12400 15256 19070 30512 38140 47675 59117 76280 95350 118234 152560 190700 236468 295585 381400 472936 591170 762800 854801 945872 1182340 1477925 1709602 2364680 2955850 3419204 4274005 4729360 5911700 6838408 8548010 11823400 13676816 17096020 21370025 23646800 26498831 34192040 42740050 52997662 68384080 85480100 105995324 132494155 170960200 211990648 264988310 341920400 423981296 529976620 662470775 1059953240 1324941550 1630105507 2119906480 2649883100 3260211014 5299766200 6520422028 8150527535 10599532400 13040844056 16301055070 26081688112 32602110140 40752637675 50533270717 65204220280 81505275350 101066541434 130408440560 163010550700 202133082868 252666353585 326021101400 404266165736 505332707170 652042202800 808532331472 1010665414340 1263331767925 2021330828680 2526663535850 4042661657360 5053327071700 10106654143400 20213308286800