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11185688196 = 2234269128341
BaseRepresentation
bin10100110101011100…
…00000111010000100
31001212112211211120000
422122232000322010
5140402014010241
65045540041300
7544122531564
oct123256007204
931775754500
1011185688196
114820036111
122202093230
131093540617
14781808da4
1545701ceb6
hex29ab80e84

11185688196 has 60 divisors (see below), whose sum is σ = 29350531980. Its totient is φ = 3714672960.

The previous prime is 11185688179. The next prime is 11185688197. The reversal of 11185688196 is 69188658111.

It can be written as a sum of positive squares in 2 ways, for example, as 5319660096 + 5866028100 = 72936^2 + 76590^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11185688197) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22986 + ... + 151326.

It is an arithmetic number, because the mean of its divisors is an integer number (489175533).

Almost surely, 211185688196 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 11185688196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14675265990).

11185688196 is an abundant number, since it is smaller than the sum of its proper divisors (18164843784).

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

11185688196 is a wasteful number, since it uses less digits than its factorization.

11185688196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128626 (or 128615 counting only the distinct ones).

The product of its digits is 829440, while the sum is 54.

The spelling of 11185688196 in words is "eleven billion, one hundred eighty-five million, six hundred eighty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 269 324 538 807 1076 1614 2421 3228 4842 7263 9684 14526 21789 29052 43578 87156 128341 256682 385023 513364 770046 1155069 1540092 2310138 3465207 4620276 6930414 10395621 13860828 20791242 34523729 41582484 69047458 103571187 138094916 207142374 310713561 414284748 621427122 932140683 1242854244 1864281366 2796422049 3728562732 5592844098 11185688196