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130689242936 = 23783199229617
BaseRepresentation
bin111100110110110101…
…1111001011100111000
3110111022221212102011222
41321231223321130320
54120122421233221
6140012100011212
712304413143660
oct1715553713470
9414287772158
10130689242936
115047474159a
12213b3690b08
13c4299188a5
14647ac431a0
1535ed60d9ab
hex1e6daf9738

130689242936 has 128 divisors (see below), whose sum is σ = 286554240000. Its totient is φ = 54727529472.

The previous prime is 130689242927. The next prime is 130689242941. The reversal of 130689242936 is 639242986031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211813700 + ... + 211814316.

It is an arithmetic number, because the mean of its divisors is an integer number (2238705000).

Almost surely, 2130689242936 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 130689242936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143277120000).

130689242936 is an abundant number, since it is smaller than the sum of its proper divisors (155864997064).

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

130689242936 is a wasteful number, since it uses less digits than its factorization.

130689242936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 53.

The spelling of 130689242936 in words is "one hundred thirty billion, six hundred eighty-nine million, two hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 83 166 199 229 332 398 458 581 617 664 796 916 1162 1234 1393 1592 1603 1832 2324 2468 2786 3206 4319 4648 4936 5572 6412 8638 11144 12824 16517 17276 19007 33034 34552 38014 45571 51211 66068 76028 91142 102422 115619 122783 132136 133049 141293 152056 182284 204844 231238 245566 266098 282586 318997 358477 364568 409688 462476 491132 532196 565172 637994 716954 859481 924952 982264 989051 1064392 1130344 1275988 1433908 1718962 1978102 2551976 2867816 3437924 3782393 3956204 6875848 7564786 7912408 10190989 11727319 15129572 20381978 23454638 26476751 28117307 30259144 40763956 46909276 52953502 56234614 71336923 81527912 82091233 93818552 105907004 112469228 142673846 164182466 196821149 211814008 224938456 285347692 328364932 393642298 570695384 656729864 787284596 1574569192 2333736481 4667472962 9334945924 16336155367 18669891848 32672310734 65344621468 130689242936