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16501680905112 = 23331349091197121
BaseRepresentation
bin1111000000100001100011…
…0101000001101110011000
32011102112201111220100022000
43300020120311001232120
54130330420302430422
655032433443001000
73322131015241134
oct360103065015630
964375644810260
1016501680905112
115292361744847
121a26177669160
139291429581a0
144109854963c4
151d93a738ecac
hexf0218d41b98

16501680905112 has 128 divisors (see below), whose sum is σ = 49374099768000. Its totient is φ = 5076401725440.

The previous prime is 16501680905111. The next prime is 16501680905141. The reversal of 16501680905112 is 21150908610561.

16501680905112 is a `hidden beast` number, since 1 + 6 + 50 + 1 + 6 + 80 + 9 + 0 + 511 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16501680905111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13185912 + ... + 14383032.

Almost surely, 216501680905112 is an apocalyptic number.

16501680905112 is a gapful number since it is divisible by the number (12) 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 16501680905112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24687049884000).

16501680905112 is an abundant number, since it is smaller than the sum of its proper divisors (32872418862888).

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

16501680905112 is a wasteful number, since it uses less digits than its factorization.

16501680905112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202058 (or 1202048 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 16501680905112 in words is "sixteen trillion, five hundred one billion, six hundred eighty million, nine hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4909 9818 14727 19636 29454 39272 44181 58908 63817 88362 117816 127634 132543 176724 191451 255268 265086 353448 382902 510536 530172 574353 765804 1060344 1148706 1197121 1531608 1723059 2297412 2394242 3446118 3591363 4594824 4788484 6892236 7182726 9576968 10774089 13784472 14365452 15562573 21548178 28730904 31125146 32322267 43096356 46687719 62250292 64644534 86192712 93375438 124500584 129289068 140063157 186750876 258578136 280126314 373501752 420189471 560252628 840378942 1120505256 1680757884 3361515768 5876666989 11753333978 17630000967 23506667956 35260001934 47013335912 52890002901 70520003868 76396670857 105780005802 141040007736 152793341714 158670008703 211560011604 229190012571 305586683428 317340017406 423120023208 458380025142 611173366856 634680034812 687570037713 916760050284 1269360069624 1375140075426 1833520100568 2062710113139 2750280150852 4125420226278 5500560301704 8250840452556 16501680905112