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11689696096 = 25138324079
BaseRepresentation
bin10101110001100001…
…01001101101100000
31010011200020002102021
422320300221231200
5142420030233341
65211542431224
7562452530431
oct127060515540
933150202367
1011689696096
114a5958a771
122322a32514
131143a99a50
147cc725488
154863c89d1
hex2b8c29b60

11689696096 has 72 divisors (see below), whose sum is σ = 25092758880. Its totient is φ = 5328934656.

The previous prime is 11689696093. The next prime is 11689696129. The reversal of 11689696096 is 69069698611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11689696093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2863785 + ... + 2867863.

It is an arithmetic number, because the mean of its divisors is an integer number (348510540).

Almost surely, 211689696096 is an apocalyptic number.

11689696096 is a gapful number since it is divisible by the number (16) 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 11689696096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546379440).

11689696096 is an abundant number, since it is smaller than the sum of its proper divisors (13403062784).

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

11689696096 is an equidigital number, since it uses as much as digits as its factorization.

11689696096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 61.

The spelling of 11689696096 in words is "eleven billion, six hundred eighty-nine million, six hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 208 332 416 664 1079 1328 2158 2656 4079 4316 6889 8158 8632 13778 16316 17264 27556 32632 34528 53027 55112 65264 89557 106054 110224 130528 179114 212108 220448 338557 358228 424216 677114 716456 848432 1354228 1432912 1696864 2708456 2865824 4401241 5416912 8802482 10833824 17604964 28100231 35209928 56200462 70419856 112400924 140839712 224801848 365303003 449603696 730606006 899207392 1461212012 2922424024 5844848048 11689696096