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20115343404 = 223213236193019
BaseRepresentation
bin10010101110111101…
…111100100000101100
31220220212120022122200
4102232331330200230
5312144011442104
613124005341500
71311322412022
oct225675744054
956825508580
1020115343404
118592650252
123a94707890
131b87561180
14d8b74c712
157cae51b39
hex4aef7c82c

20115343404 has 144 divisors (see below), whose sum is σ = 57250502400. Its totient is φ = 5908712832.

The previous prime is 20115343403. The next prime is 20115343421. The reversal of 20115343404 is 40434351102.

It is a happy number.

20115343404 is a `hidden beast` number, since 201 + 1 + 53 + 4 + 3 + 404 = 666.

It is not an unprimeable number, because it can be changed into a prime (20115343403) 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 47 ways as a sum of consecutive naturals, for example, 6661407 + ... + 6664425.

Almost surely, 220115343404 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 20115343404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28625251200).

20115343404 is an abundant number, since it is smaller than the sum of its proper divisors (37135158996).

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

20115343404 is a wasteful number, since it uses less digits than its factorization.

20115343404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20115343404 its reverse (40434351102), we get a palindrome (60549694506).

The spelling of 20115343404 in words is "twenty billion, one hundred fifteen million, three hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 619 828 897 1196 1238 1794 1857 2476 2691 3019 3588 3714 5382 5571 6038 7428 8047 9057 10764 11142 12076 14237 16094 18114 22284 24141 27171 28474 32188 36228 39247 42711 48282 54342 56948 69437 72423 78494 85422 96564 108684 117741 128133 138874 144846 156988 170844 185081 208311 235482 256266 277748 289692 353223 370162 416622 470964 512532 555243 624933 706446 740324 833244 902681 1110486 1249866 1412892 1665729 1805362 1868761 2220972 2499732 2708043 3331458 3610724 3737522 5416086 5606283 6662916 7475044 8124129 10832172 11212566 16248258 16818849 22425132 24293893 32496516 33637698 42981503 48587786 67275396 72881679 85963006 97175572 128944509 145763358 171926012 218645037 257889018 291526716 386833527 437290074 515778036 558759539 773667054 874580148 1117519078 1547334108 1676278617 2235038156 3352557234 5028835851 6705114468 10057671702 20115343404