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5384136314835 = 335476729274327
BaseRepresentation
bin100111001011001011110…
…0010000100111111010011
3201001201101201100210102000
41032112113202010333103
51201203202344033320
615241234342525043
71063663626364155
oct116262742047723
921051351323360
105384136314835
111796443649453
1272b594436783
1330094cc66245
14148844b3cad5
15950c159dc90
hex4e597884fd3

5384136314835 has 128 divisors (see below), whose sum is σ = 9927038730240. Its totient is φ = 2766910430592.

The previous prime is 5384136314813. The next prime is 5384136314849.

5384136314835 is a `hidden beast` number, since 53 + 8 + 413 + 6 + 3 + 148 + 35 = 666.

5384136314835 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5384136314835 - 26 = 5384136314771 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 1244309442 + ... + 1244313768.

It is an arithmetic number, because the mean of its divisors is an integer number (77554990080).

Almost surely, 25384136314835 is an apocalyptic number.

5384136314835 is a deficient number, since it is larger than the sum of its proper divisors (4542902415405).

5384136314835 is a wasteful number, since it uses less digits than its factorization.

5384136314835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7376 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 5384136314835 in words is "five trillion, three hundred eighty-four billion, one hundred thirty-six million, three hundred fourteen thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 47 67 135 141 201 235 335 423 603 705 1005 1269 1809 2115 2927 3015 3149 4327 6345 8781 9045 9447 12981 14635 15745 21635 26343 28341 38943 43905 47235 64905 79029 85023 116829 131715 137569 141705 194715 196109 203369 289909 395145 412707 425115 584145 588327 610107 687845 869727 980545 1016845 1238121 1449545 1764981 1830321 2063535 2609181 2941635 3050535 3714363 4348635 5294943 5490963 6190605 7827543 8824905 9151605 9217123 12665129 13045905 13625723 18571815 26474715 27454815 27651369 37995387 39137715 40877169 46085615 63325645 68128615 82954107 113986161 122631507 138256845 189976935 204385845 248862321 341958483 367894521 414770535 569930805 595261063 613157535 848563643 1244311605 1709792415 1785783189 1839472605 2545690929 2976305315 4242818215 5357349567 7637072787 8928915945 12728454645 16072048701 22911218361 26786747835 38185363935 39882491221 80360243505 114556091805 119647473663 199412456105 358942420989 598237368315 1076827262967 1794712104945 5384136314835