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67340040040 = 235713163113497
BaseRepresentation
bin111110101101110001…
…110111011101101000
320102211001011110210001
4332231301313131220
52100403022240130
650534030432344
74602514616230
oct765561673550
9212731143701
1067340040040
1126616773859
12110740626b4
13647233ca50
14338b646cc0
151b41d396ca
hexfadc77768

67340040040 has 128 divisors (see below), whose sum is σ = 187625813760. Its totient is φ = 21181077504.

The previous prime is 67340040037. The next prime is 67340040073. The reversal of 67340040040 is 4004004376.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 67340039990 and 67340040008.

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 31 ways as a sum of consecutive naturals, for example, 536572 + ... + 650068.

It is an arithmetic number, because the mean of its divisors is an integer number (1465826670).

Almost surely, 267340040040 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 67340040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93812906880).

67340040040 is an abundant number, since it is smaller than the sum of its proper divisors (120285773720).

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

67340040040 is a wasteful number, since it uses less digits than its factorization.

67340040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113691 (or 113687 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 67340040040 in words is "sixty-seven billion, three hundred forty million, forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 163 182 260 280 326 364 455 520 652 728 815 910 1141 1304 1630 1820 2119 2282 3260 3640 4238 4564 5705 6520 8476 9128 10595 11410 14833 16952 21190 22820 29666 42380 45640 59332 74165 84760 113497 118664 148330 226994 296660 453988 567485 593320 794479 907976 1134970 1475461 1588958 2269940 2950922 3177916 3972395 4539880 5901844 6355832 7377305 7944790 10328227 11803688 14754610 15889580 18500011 20656454 29509220 31779160 37000022 41312908 51641135 59018440 74000044 82625816 92500055 103282270 129500077 148000088 185000110 206564540 240500143 259000154 370000220 413129080 481000286 518000308 647500385 740000440 962000572 1036000616 1202500715 1295000770 1683501001 1924001144 2405001430 2590001540 3367002002 4810002860 5180003080 6734004004 8417505005 9620005720 13468008008 16835010010 33670020020 67340040040