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20225104605696 = 29331433980957
BaseRepresentation
bin1001001100101000001100…
…01011001111001000000000
32122121111112022111022000010
410212110012023033020000
510122332003234340241
6111003141303024520
74155133642424064
oct446240613171000
978544468438003
1020225104605696
116498467312051
12232791673b140
13b392b0703383
144dcc86555aa4
1525117c291d16
hex1265062cf200

20225104605696 has 160 divisors (see below), whose sum is σ = 55747544928768. Its totient is φ = 6509153157120.

The previous prime is 20225104605689. The next prime is 20225104605701. The reversal of 20225104605696 is 69650640152202.

It is a super-2 number, since 2×202251046056962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 20127250 + ... + 21108206.

Almost surely, 220225104605696 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 20225104605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27873772464384).

20225104605696 is an abundant number, since it is smaller than the sum of its proper divisors (35522440323072).

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

20225104605696 is an equidigital number, since it uses as much as digits as its factorization.

20225104605696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981442 (or 981426 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

Adding to 20225104605696 its reverse (69650640152202), we get a palindrome (89875744757898).

The spelling of 20225104605696 in words is "twenty trillion, two hundred twenty-five billion, one hundred four million, six hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 433 496 512 744 768 866 992 1299 1488 1536 1732 1984 2598 2976 3464 3968 5196 5952 6928 7936 10392 11904 13423 13856 15872 20784 23808 26846 27712 40269 41568 47616 53692 55424 80538 83136 107384 110848 161076 166272 214768 221696 322152 332544 429536 644304 665088 859072 980957 1288608 1718144 1961914 2577216 2942871 3436288 3923828 5154432 5885742 6872576 7847656 10308864 11771484 15695312 20617728 23542968 30409667 31390624 47085936 60819334 62781248 91229001 94171872 121638668 125562496 182458002 188343744 243277336 251124992 364916004 376687488 424754381 486554672 502249984 729832008 753374976 849508762 973109344 1274263143 1459664016 1506749952 1699017524 1946218688 2548526286 2919328032 3398035048 3892437376 5097052572 5838656064 6796070096 7784874752 10194105144 11677312128 13167385811 13592140192 15569749504 20388210288 23354624256 26334771622 27184280384 39502157433 40776420576 46709248512 52669543244 54368560768 79004314866 81552841152 105339086488 108737121536 158008629732 163105682304 210678172976 217474243072 316017259464 326211364608 421356345952 632034518928 652422729216 842712691904 1264069037856 1685425383808 2528138075712 3370850767616 5056276151424 6741701535232 10112552302848 20225104605696