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9993830196 = 2237415095701
BaseRepresentation
bin10010100111010110…
…11011111100110100
3221210111011011202010
421103223123330310
5130431410031241
64331402244220
7502441104120
oct112353337464
927714134663
109993830196
1142692905a9
121b2aab6670
13c3363a0bc
146ab3d8580
153d758ed16
hex253adbf34

9993830196 has 96 divisors (see below), whose sum is σ = 27358652160. Its totient is φ = 2779776000.

The previous prime is 9993830183. The next prime is 9993830207. The reversal of 9993830196 is 6910383999.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1750146 + ... + 1755846.

It is an arithmetic number, because the mean of its divisors is an integer number (284985960).

Almost surely, 29993830196 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 9993830196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679326080).

9993830196 is an abundant number, since it is smaller than the sum of its proper divisors (17364821964).

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

9993830196 is a wasteful number, since it uses less digits than its factorization.

9993830196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6265 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 57.

The square root of 9993830196 is about 99969.1462202214. The cubic root of 9993830196 is about 2153.9915175509.

The spelling of 9993830196 in words is "nine billion, nine hundred ninety-three million, eight hundred thirty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 509 574 861 1018 1148 1527 1722 2036 3054 3444 3563 5701 6108 7126 10689 11402 14252 17103 20869 21378 22804 34206 39907 41738 42756 62607 68412 79814 83476 119721 125214 146083 159628 233741 239442 250428 292166 438249 467482 478884 584332 701223 876498 934964 1402446 1636187 1752996 2804892 2901809 3272374 4908561 5803618 6544748 8705427 9817122 11607236 17410854 19634244 20312663 34821708 40625326 60937989 81250652 118974169 121875978 237948338 243751956 356922507 475896676 713845014 832819183 1427690028 1665638366 2498457549 3331276732 4996915098 9993830196