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28731809135029 = 7111321927186143
BaseRepresentation
bin1101000100001101001010…
…10001101111100110110101
310202201201211011211210100011
412202012211101233212311
512231220221114310104
6141035113315420221
76023543005035520
oct642064521574665
9122651734753304
1028731809135029
119178101246910
1232805008b4671
131305523477c00
147148ac61dbb7
1534c5a873c904
hex1a21a546f9b5

28731809135029 has 144 divisors (see below), whose sum is σ = 41514979590144. Its totient is φ = 19302561532800.

The previous prime is 28731809135027. The next prime is 28731809135047. The reversal of 28731809135029 is 92053190813782.

It is a happy number.

It is not a de Polignac number, because 28731809135029 - 21 = 28731809135027 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 (28731809135027) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 333493132 + ... + 333579274.

It is an arithmetic number, because the mean of its divisors is an integer number (288298469376).

Almost surely, 228731809135029 is an apocalyptic number.

It is an amenable number.

28731809135029 is a deficient number, since it is larger than the sum of its proper divisors (12783170455115).

28731809135029 is a wasteful number, since it uses less digits than its factorization.

28731809135029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86296 (or 86264 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 28731809135029 in words is "twenty-eight trillion, seven hundred thirty-one billion, eight hundred nine million, one hundred thirty-five thousand, twenty-nine".

Divisors: 1 7 11 13 19 71 77 91 133 143 169 209 247 361 497 781 923 1001 1183 1349 1463 1729 1859 2527 2717 3211 3971 4693 5467 6461 9443 10153 11999 13013 14839 17537 19019 22477 25631 27797 32851 35321 51623 61009 71071 83993 86143 103873 122759 131989 179417 192907 227981 247247 281941 333203 361361 427063 603001 671099 923923 947573 1119859 1350349 1595867 1636717 1973587 2332421 2507791 3665233 4331639 4697693 6116153 6633011 7839013 11457019 12318449 14558167 17554537 18003887 21277321 25656631 30321473 31097623 42813071 47648029 67277683 79509989 86229143 101907169 116206907 126027209 148941247 160139837 217683361 234050531 276605173 333536203 342073853 404269099 470943781 556569923 813448349 874609879 1033629857 1120978859 1278275977 1510689791 1638353717 1936236211 2207931233 2394516971 2829883693 3042656903 4446960089 5255498287 6122269153 7235408999 8947931839 10574828537 11369928427 15455518631 16617587701 19638967283 21298598321 24287243563 28703106029 31128720623 36788488009 57810481157 79589498989 116323113907 137472770981 170010704941 200921742203 216028640113 315734166319 373140378377 404673368099 1512200480791 2210139164233 2611982648639 4104544162147 28731809135029