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73340640516 = 2231121329133979
BaseRepresentation
bin100010001001101110…
…0010101110100000100
321000022020100120011010
41010103130111310010
52200200200444031
653405304242220
75204310105243
oct1042334256404
9230266316133
1073340640516
1129115974800
1212269770370
136bba588c10
14379a57095a
151d93a40246
hex1113715d04

73340640516 has 144 divisors (see below), whose sum is σ = 209555438400. Its totient is φ = 19807307520.

The previous prime is 73340640511. The next prime is 73340640577. The reversal of 73340640516 is 61504604337.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (73340640511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480415 + ... + 614393.

It is an arithmetic number, because the mean of its divisors is an integer number (1455246100).

Almost surely, 273340640516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73340640516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104777719200).

73340640516 is an abundant number, since it is smaller than the sum of its proper divisors (136214797884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73340640516 is a wasteful number, since it uses less digits than its factorization.

73340640516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134050 (or 134037 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 73340640516 in words is "seventy-three billion, three hundred forty million, six hundred forty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 87 116 121 132 143 156 174 242 286 319 348 363 377 429 484 572 638 726 754 858 957 1131 1276 1452 1508 1573 1716 1914 2262 3146 3509 3828 4147 4524 4719 6292 7018 8294 9438 10527 12441 14036 16588 18876 21054 24882 42108 45617 49764 91234 133979 136851 182468 267958 273702 401937 535916 547404 803874 1473769 1607748 1741727 2947538 3483454 3885391 4421307 5225181 5895076 6966908 7770782 8842614 10450362 11656173 15541564 16211459 17685228 19158997 20900724 23312346 32422918 38317994 42739301 46624692 48634377 50510083 57476991 64845836 76635988 85478602 97268754 101020166 114953982 128217903 151530249 170957204 194537508 202040332 210748967 229907964 256435806 303060498 421497934 470132311 512871612 555610913 606120996 632246901 842995868 940264622 1111221826 1264493802 1410396933 1666832739 1880529244 2222443652 2528987604 2820793866 3333665478 5641587732 6111720043 6667330956 12223440086 18335160129 24446880172 36670320258 73340640516