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6991131699981 = 3411131973435161
BaseRepresentation
bin110010110111011111111…
…1010111110101100001101
3220202100022222200122210000
41211232333322332230031
51404020314203344411
622511403115034513
71321043521650132
oct145567772765415
926670288618700
106991131699981
112255a1664a280
1294ab17a3ba39
133b935123a820
141a2530504589
15c1cc6d89956
hex65bbfebeb0d

6991131699981 has 160 divisors (see below), whose sum is σ = 13092040241280. Its totient is φ = 3654508492800.

The previous prime is 6991131699917. The next prime is 6991131699983. The reversal of 6991131699981 is 1899961311996.

6991131699981 is a `hidden beast` number, since 69 + 91 + 1 + 316 + 9 + 99 + 81 = 666.

It is not a de Polignac number, because 6991131699981 - 26 = 6991131699917 is a prime.

It is a super-2 number, since 2×69911316999812 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6991131699983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15848041 + ... + 16283201.

It is an arithmetic number, because the mean of its divisors is an integer number (81825251508).

Almost surely, 26991131699981 is an apocalyptic number.

It is an amenable number.

6991131699981 is a deficient number, since it is larger than the sum of its proper divisors (6100908541299).

6991131699981 is a wasteful number, since it uses less digits than its factorization.

6991131699981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435289 (or 435280 counting only the distinct ones).

The product of its digits is 51018336, while the sum is 72.

The spelling of 6991131699981 in words is "six trillion, nine hundred ninety-one billion, one hundred thirty-one million, six hundred ninety-nine thousand, nine hundred eighty-one".

Divisors: 1 3 9 11 13 19 27 33 39 57 73 81 99 117 143 171 209 219 247 297 351 429 513 627 657 741 803 891 949 1053 1287 1387 1539 1881 1971 2223 2409 2717 2847 3861 4161 5643 5913 6669 7227 8151 8541 10439 11583 12483 15257 16929 18031 20007 21681 24453 25623 31317 37449 45771 54093 65043 73359 76869 93951 112347 137313 162279 198341 220077 281853 411939 435161 486837 595023 845559 1235817 1305483 1460511 1785069 3916449 4786771 5355207 5657093 8268059 11749347 14360313 16065621 16971279 24804177 31766753 35248041 43080939 50913837 62228023 74412531 90948649 95300259 107484767 129242817 152741511 186684069 223237593 272845947 285900777 322454301 349434283 387728451 412967789 458224533 560052207 603568307 669712779 818537841 857702331 967362903 1048302849 1182332437 1238903367 1680156621 1810704921 2455613523 2573106993 2902088709 3144908547 3546997311 3716710101 4542645679 5040469863 5432114763 6639251377 7366840569 7846387991 8706266127 9434725641 10640991933 11150130303 13627937037 16296344289 19917754131 23539163973 28304176923 31922975799 33450390909 40883811111 48889032867 59753262393 70617491919 86310267901 95768927397 122651433333 179259787179 211852475757 258930803703 367954299999 537779361537 635557427271 776792411109 2330377233327 6991131699981