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1682196584112 = 2432112773833909
BaseRepresentation
bin11000011110101010101…
…110101101011010110000
312221211001011122120220100
4120132222232231122300
5210030114311142422
63324442422512400
7232351254016662
oct30365256553260
95854034576810
101682196584112
11599463131740
12232030295700
13c2827164765
145b5c1094532
152db578477ac
hex187aabad6b0

1682196584112 has 120 divisors (see below), whose sum is σ = 5154339275280. Its totient is φ = 507916131840.

The previous prime is 1682196584083. The next prime is 1682196584129. The reversal of 1682196584112 is 2114856912861.

1682196584112 is a `hidden beast` number, since 1 + 6 + 8 + 219 + 6 + 5 + 8 + 411 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1478187 + ... + 2355722.

It is an arithmetic number, because the mean of its divisors is an integer number (42952827294).

Almost surely, 21682196584112 is an apocalyptic number.

1682196584112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1682196584112 is an abundant number, since it is smaller than the sum of its proper divisors (3472142691168).

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

1682196584112 is a wasteful number, since it uses less digits than its factorization.

1682196584112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834211 (or 3834202 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 1682196584112 in words is "one trillion, six hundred eighty-two billion, one hundred ninety-six million, five hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 277 396 528 554 792 831 1108 1584 1662 2216 2493 3047 3324 4432 4986 6094 6648 9141 9972 12188 13296 18282 19944 24376 27423 36564 39888 48752 54846 73128 109692 146256 219384 438768 3833909 7667818 11501727 15335636 23003454 30671272 34505181 42172999 46006908 61342544 69010362 84345998 92013816 126518997 138020724 168691996 184027632 253037994 276041448 337383992 379556991 506075988 552082896 674767984 759113982 1012151976 1061992793 1518227964 2024303952 2123985586 3036455928 3185978379 4247971172 6072911856 6371956758 8495942344 9557935137 11681920723 12743913516 16991884688 19115870274 23363841446 25487827032 35045762169 38231740548 46727682892 50975654064 70091524338 76463481096 93455365784 105137286507 140183048676 152926962192 186910731568 210274573014 280366097352 420549146028 560732194704 841098292056 1682196584112