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109975803876 = 223219229092
BaseRepresentation
bin110011001101100010…
…0011001011111100100
3101111212101212200112100
41212123010121133210
53300212301211001
6122304443052100
710642205623551
oct1463304313744
9344771780470
10109975803876
1142705524214
1219392811030
13a4a84a7883
145473cc5a28
152cd9e18586
hex199b1197e4

109975803876 has 81 divisors (see below), whose sum is σ = 293496637161. Its totient is φ = 34717262688.

The previous prime is 109975803809. The next prime is 109975803877. The reversal of 109975803876 is 678308579901.

The square root of 109975803876 is 331626.

It is a perfect power (a square), and thus also a powerful number.

109975803876 is a `hidden beast` number, since 10 + 9 + 9 + 7 + 580 + 38 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95373498276 + 14602305600 = 308826^2 + 120840^2 .

It is not an unprimeable number, because it can be changed into a prime (109975803877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37803910 + ... + 37806818.

Almost surely, 2109975803876 is an apocalyptic number.

109975803876 is the 331626-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109975803876

109975803876 is an abundant number, since it is smaller than the sum of its proper divisors (183520833285).

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

109975803876 is an equidigital number, since it uses as much as digits as its factorization.

109975803876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 109975803876 in words is "one hundred nine billion, nine hundred seventy-five million, eight hundred three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 2909 3249 4332 5818 6498 8727 11636 12996 17454 26181 34908 52362 55271 104724 110542 165813 221084 331626 497439 663252 994878 1050149 1989756 2100298 3150447 4200596 6300894 8462281 9451341 12601788 16924562 18902682 25386843 33849124 37805364 50773686 76160529 101547372 152321058 160783339 304642116 321566678 482350017 643133356 964700034 1447050051 1929400068 2894100102 3054883441 5788200204 6109766882 9164650323 12219533764 18329300646 27493950969 36658601292 54987901938 109975803876