Search a number
-
+
115153371684 = 22351343211933
BaseRepresentation
bin110101100111110101…
…1010000001000100100
3102000020020101101100000
41223033223100020210
53341313230343214
6124522320221300
711214415336461
oct1531753201044
9360206341300
10115153371684
114492209257a
121a39876a830
13ab22068270
1458057aa668
152ede747809
hex1acfad0224

115153371684 has 144 divisors (see below), whose sum is σ = 332644824512. Its totient is φ = 34607647872.

The previous prime is 115153371673. The next prime is 115153371721. The reversal of 115153371684 is 486173351511.

115153371684 is a `hidden beast` number, since 1 + 1 + 51 + 533 + 7 + 1 + 68 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437382 + ... + 649314.

Almost surely, 2115153371684 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 115153371684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166322412256).

115153371684 is an abundant number, since it is smaller than the sum of its proper divisors (217491452828).

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

115153371684 is a wasteful number, since it uses less digits than its factorization.

115153371684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212008 (or 211994 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 115153371684 in words is "one hundred fifteen billion, one hundred fifty-three million, three hundred seventy-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 43 52 54 78 81 86 108 117 129 156 162 172 234 243 258 324 351 387 468 486 516 559 702 774 972 1053 1118 1161 1404 1548 1677 2106 2236 2322 3159 3354 3483 4212 4644 5031 6318 6708 6966 10062 10449 12636 13932 15093 20124 20898 30186 41796 45279 60372 90558 135837 181116 211933 271674 423866 543348 635799 847732 1271598 1907397 2543196 2755129 3814794 5510258 5722191 7629588 8265387 9113119 11020516 11444382 16530774 17166573 18226238 22888764 24796161 27339357 33061548 34333146 36452476 49592322 51499719 54678714 68666292 74388483 82018071 99184644 102999438 109357428 118470547 148776966 164036142 205998876 223165449 236941094 246054213 297553932 328072284 355411641 446330898 473882188 492108426 669496347 710823282 738162639 892661796 984216852 1066234923 1338992694 1421646564 1476325278 2132469846 2214487917 2677985388 2952650556 3198704769 4264939692 4428975834 6397409538 8857951668 9596114307 12794819076 19192228614 28788342921 38384457228 57576685842 115153371684