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20343764624500 = 2253743109749919
BaseRepresentation
bin1001010000000101001101…
…10111010010010001110100
32200000211210221020210212101
410220002212313102101310
510131303012220441000
6111133444011031444
74166534311066552
oct450024667222164
980024727223771
1020343764624500
116533818851499
12234691173b584
13b475410c4655
14504901930bd2
152542c47aae6a
hex1280a6dd2474

20343764624500 has 96 divisors (see below), whose sum is σ = 44532029767680. Its totient is φ = 8118982995200.

The previous prime is 20343764624479. The next prime is 20343764624501. The reversal of 20343764624500 is 542646734302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20343764624501) 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 31 ways as a sum of consecutive naturals, for example, 407510541 + ... + 407560459.

It is an arithmetic number, because the mean of its divisors is an integer number (463875310080).

Almost surely, 220343764624500 is an apocalyptic number.

20343764624500 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 20343764624500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22266014883840).

20343764624500 is an abundant number, since it is smaller than the sum of its proper divisors (24188265143180).

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

20343764624500 is a wasteful number, since it uses less digits than its factorization.

20343764624500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51778 (or 51766 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 46.

The spelling of 20343764624500 in words is "twenty trillion, three hundred forty-three billion, seven hundred sixty-four million, six hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 743 1097 1486 2194 2972 3715 4388 5485 7430 10970 14860 18575 21940 27425 37150 49919 54850 74300 92875 99838 109700 137125 185750 199676 249595 274250 371500 499190 548500 815071 998380 1247975 1630142 2495950 3260284 4075355 4991900 6239875 8150710 12479750 16301420 20376775 24959500 37089817 40753550 54761143 74179634 81507100 101883875 109522286 148359268 185449085 203767750 219044572 273805715 370898170 407535500 547611430 741796340 927245425 1095222860 1369028575 1854490850 2738057150 3708981700 4636227125 5476114300 6845142875 9272454250 13690285750 18544908500 27380571500 40687529249 81375058498 162750116996 203437646245 406875292490 813750584980 1017188231225 2034376462450 4068752924900 5085941156125 10171882312250 20343764624500