Search a number
-
+
109839305716 = 2274614332
BaseRepresentation
bin110011001001011101…
…1101100101111110100
3101111111220000212020221
41212102323230233310
53244422330240331
6122243125304124
710635630460000
oct1462273545764
9344456025227
10109839305716
1142645474118
1219354b65044
13a48612542a
14545db13700
152ccce54711
hex1992eecbf4

109839305716 has 90 divisors (see below), whose sum is σ = 228445588182. Its totient is φ = 46195349760.

The previous prime is 109839305713. The next prime is 109839305731. The reversal of 109839305716 is 617503938901.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13146915600 + 96692390116 = 114660^2 + 310954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109839305713) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253670236 + ... + 253670668.

Almost surely, 2109839305716 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 109839305716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114222794091).

109839305716 is an abundant number, since it is smaller than the sum of its proper divisors (118606282466).

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

109839305716 is an frugal number, since it uses more digits than its factorization.

109839305716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 109839305716 in words is "one hundred nine billion, eight hundred thirty-nine million, three hundred five thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 343 427 433 686 854 866 1372 1708 1732 2401 2989 3031 4802 5978 6062 9604 11956 12124 20923 21217 26413 41846 42434 52826 83692 84868 105652 146461 148519 184891 187489 292922 297038 369782 374978 585844 594076 739564 749956 1039633 1294237 1312423 2079266 2588474 2624846 4158532 5176948 5249692 9059659 9186961 11436829 18119318 18373922 22873658 36238636 36747844 45747316 63417613 64308727 80057803 126835226 128617454 160115606 253670452 257234908 320231212 450161089 560404621 900322178 1120809242 1800644356 2241618484 3922832347 7845664694 15691329388 27459826429 54919652858 109839305716