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20047247540820 = 2234597127575713
BaseRepresentation
bin1001000111011100111010…
…00100011000001001010100
32121222111110011001021010000
410203232131010120021110
510111423230332301240
6110345324532531300
74136236324342203
oct443563504301124
977874404037100
1020047247540820
116429a98673835
1222b935a780b30
13b255a7a30496
144d44131c123a
1524b71cc82430
hex123b9d118254

20047247540820 has 120 divisors (see below), whose sum is σ = 63537298297704. Its totient is φ = 5290819928064.

The previous prime is 20047247540717. The next prime is 20047247540867. The reversal of 20047247540820 is 2804574274002.

20047247540820 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 7 + 24 + 7 + 540 + 82 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5375145486096 + 14672102054724 = 2318436^2 + 3830418^2 .

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 63630717 + ... + 63944996.

Almost surely, 220047247540820 is an apocalyptic number.

20047247540820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20047247540820 is an abundant number, since it is smaller than the sum of its proper divisors (43490050756884).

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

20047247540820 is a wasteful number, since it uses less digits than its factorization.

20047247540820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127575831 (or 127575820 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 20047247540820 in words is "twenty trillion, forty-seven billion, two hundred forty-seven million, five hundred forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 97 108 135 162 180 194 270 291 324 388 405 485 540 582 810 873 970 1164 1455 1620 1746 1940 2619 2910 3492 4365 5238 5820 7857 8730 10476 13095 15714 17460 26190 31428 39285 52380 78570 157140 127575713 255151426 382727139 510302852 637878565 765454278 1148181417 1275757130 1530908556 1913635695 2296362834 2551514260 3444544251 3827271390 4592725668 5740907085 6889088502 7654542780 10333632753 11481814170 12374844161 13778177004 17222721255 20667265506 22963628340 24749688322 34445442510 37124532483 41334531012 49499376644 51668163765 61874220805 68890885020 74249064966 103336327530 111373597449 123748441610 148498129932 185622662415 206672655060 222747194898 247496883220 334120792347 371245324830 445494389796 556867987245 668241584694 742490649660 1002362377041 1113735974490 1336483169388 1670603961735 2004724754082 2227471948980 3341207923470 4009449508164 5011811885205 6682415846940 10023623770410 20047247540820