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29918343167999 = 111319318916723899
BaseRepresentation
bin1101100110101111010000…
…01101110111111111111111
310220221011110202221220020222
412303113220031313333333
512410140231322333444
6143344144101531555
76205346301643466
oct663275015677777
9126834422856228
1029918343167999
119595330826630
123432460713bbb
131390397c93690
147560ac5659dd
1536d3a1131eee
hex1b35e8377fff

29918343167999 has 128 divisors (see below), whose sum is σ = 38854287360000. Its totient is φ = 22621808563200.

The previous prime is 29918343167987. The next prime is 29918343168001. The reversal of 29918343167999 is 99976134381992.

It is a de Polignac number, because none of the positive numbers 2k-29918343167999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29918343167959) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1251853952 + ... + 1251877850.

It is an arithmetic number, because the mean of its divisors is an integer number (303549120000).

Almost surely, 229918343167999 is an apocalyptic number.

29918343167999 is a deficient number, since it is larger than the sum of its proper divisors (8935944192001).

29918343167999 is a wasteful number, since it uses less digits than its factorization.

29918343167999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24229.

The product of its digits is 1428513408, while the sum is 80.

The spelling of 29918343167999 in words is "twenty-nine trillion, nine hundred eighteen billion, three hundred forty-three million, one hundred sixty-seven thousand, nine hundred ninety-nine".

Divisors: 1 11 13 19 31 89 143 167 209 247 341 403 589 979 1157 1691 1837 2171 2717 2759 3173 4433 5177 6479 7657 12727 14863 18601 21983 23881 23899 30349 34903 35867 41249 52421 56947 67301 84227 98363 163493 193219 241813 262889 282397 310687 394537 453739 454081 460753 576631 681473 740311 740869 1081993 1278719 2125409 2127011 3106367 3417557 3671161 3991133 4994891 5068283 5903053 5989789 7496203 8149559 8754307 9631297 14065909 14076511 23397121 27651143 40382771 40413209 43902463 51884729 64933583 65887679 65937341 75831527 96297377 105944267 113805991 123725123 154841621 182994643 304162573 355210837 444545299 525371717 570732019 725310751 834146797 857185433 985809851 1251865901 1252809479 1360976353 1608426599 2012941073 2350777337 3907319207 4617740881 5779088887 6749005903 9429039763 10843908361 11011535947 13780904269 16286523227 17692692589 25858550707 30560105381 50795149691 74239064933 87737076739 121126895417 143149967311 179151755497 209219182993 336161159191 965107844129 1574649640421 2301411012923 2719849378909 29918343167999