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20013725075712 = 28392933138467
BaseRepresentation
bin1001000110011110011101…
…11110010100100100000000
32121212021220220121121000020
410203033032332110210000
510110401102104410322
6110322102310053440
74133641523156604
oct443171676244400
977767826547006
1020013725075712
116416856059615
1222b296404a280
13b22394964604
144d295300b504
1524a909cb005c
hex1233cef94900

20013725075712 has 144 divisors (see below), whose sum is σ = 53345426715840. Its totient is φ = 6661262278656.

The previous prime is 20013725075651. The next prime is 20013725075759. The reversal of 20013725075712 is 21757052731002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2363728503 + ... + 2363736969.

Almost surely, 220013725075712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013725075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26672713357920).

20013725075712 is an abundant number, since it is smaller than the sum of its proper divisors (33331701640128).

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

20013725075712 is an equidigital number, since it uses as much as digits as its factorization.

20013725075712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12728 (or 12714 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 20013725075712 in words is "twenty trillion, thirteen billion, seven hundred twenty-five million, seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 929 1858 2787 3313 3716 5574 6626 7432 8467 9939 11148 13252 14864 16934 19878 22296 25401 26504 29728 33868 39756 44592 50802 53008 59456 67736 79512 89184 101604 106016 118912 135472 159024 178368 203208 212032 237824 270944 318048 356736 406416 424064 541888 636096 713472 812832 848128 1083776 1272192 1625664 2167552 2544384 3077777 3251328 6155554 6502656 7865843 9233331 12311108 15731686 18466662 23597529 24622216 28051171 31463372 36933324 47195058 49244432 56102342 62926744 73866648 84153513 94390116 98488864 112204684 125853488 147733296 168307026 188780232 196977728 224409368 251706976 295466592 336614052 377560464 393955456 448818736 503413952 590933184 673228104 755120928 787910912 897637472 1006827904 1181866368 1346456208 1510241856 1795274944 2013655808 2363732736 2692912416 3020483712 3590549888 5385824832 6040967424 7181099776 10771649664 21543299328 26059537859 52119075718 78178613577 104238151436 156357227154 208476302872 312714454308 416952605744 625428908616 833905211488 1250857817232 1667810422976 2501715634464 3335620845952 5003431268928 6671241691904 10006862537856 20013725075712