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73868354513811 = 331113236431293659
BaseRepresentation
bin10000110010111011010001…
…000001111110101110010011
3100200112202010122002212102000
4100302323101001332232103
534140224342223420221
6421034353101525043
721362545454334024
oct2062732101765623
9320482118085360
1073868354513811
112159a436419520
128350222573783
13322a9a9a5a140
141435366d64c4b
15881743455e26
hex432ed107eb93

73868354513811 has 128 divisors (see below), whose sum is σ = 134365116211200. Its totient is φ = 39466711278720.

The previous prime is 73868354513809. The next prime is 73868354513813. The reversal of 73868354513811 is 11831545386837.

73868354513811 is a `hidden beast` number, since 7 + 3 + 8 + 6 + 8 + 3 + 545 + 1 + 3 + 81 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (73868354513809) and next prime (73868354513813).

It is not a de Polignac number, because 73868354513811 - 21 = 73868354513809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73868354513813) 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, 56453500 + ... + 57747158.

It is an arithmetic number, because the mean of its divisors is an integer number (1049727470400).

Almost surely, 273868354513811 is an apocalyptic number.

73868354513811 is a deficient number, since it is larger than the sum of its proper divisors (60496761697389).

73868354513811 is a wasteful number, since it uses less digits than its factorization.

73868354513811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294358 (or 1294352 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 73868354513811 in words is "seventy-three trillion, eight hundred sixty-eight billion, three hundred fifty-four million, five hundred thirteen thousand, eight hundred eleven".

Divisors: 1 3 9 11 13 23 27 33 39 69 99 117 143 207 253 297 299 351 429 621 643 759 897 1287 1929 2277 2691 3289 3861 5787 6831 7073 8073 8359 9867 14789 17361 21219 25077 29601 44367 63657 75231 88803 91949 133101 162679 190971 192257 225693 275847 399303 488037 576771 827541 1293659 1464111 1730313 2114827 2482623 3880977 4392333 5190939 6344481 11642931 14230249 16817567 19033443 29754157 34928793 42690747 50452701 57100329 89262471 128072241 151358103 184993237 267787413 327295727 384216723 386804041 454074309 554979711 803362239 831822737 981887181 1160412123 1664939133 2495468211 2945661543 3481236369 4254844451 4994817399 7486404633 8836984629 9150050107 10443709107 10813695581 12764533353 19131922951 22459213899 27450150321 32441086743 38293600059 57395768853 82350450963 97323260229 114880800177 118950651391 172187306559 210451152461 247051352889 248714998363 291969780687 356851954173 516561919677 631353457383 746144995089 1070555862519 1894060372149 2238434985267 2735864981993 3211667587557 5682181116447 6715304955801 8207594945979 24622784837937 73868354513811