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68085174864 = 24371922974643
BaseRepresentation
bin111111011010001100…
…010101001001010000
320111201222021020121010
4333122030111021100
52103414301043424
651140005330520
74630133303040
oct773214251120
9214658236533
1068085174864
1126969340663
1211241706a40
136560822c25
14341c5ad720
151b87475229
hexfda315250

68085174864 has 160 divisors (see below), whose sum is σ = 211730734080. Its totient is φ = 18417079296.

The previous prime is 68085174851. The next prime is 68085174869. The reversal of 68085174864 is 46847158086.

It is a super-2 number, since 2×680851748642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68085174869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14661727 + ... + 14666369.

It is an arithmetic number, because the mean of its divisors is an integer number (1323317088).

Almost surely, 268085174864 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 68085174864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105865367040).

68085174864 is an abundant number, since it is smaller than the sum of its proper divisors (143645559216).

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

68085174864 is a wasteful number, since it uses less digits than its factorization.

68085174864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 68085174864 in words is "sixty-eight billion, eighty-five million, one hundred seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 2297 3192 4594 4643 6384 6891 9188 9286 13782 13929 16079 18376 18572 27564 27858 32158 32501 36752 37144 43643 48237 55128 55716 64316 65002 74288 87286 88217 96474 97503 110256 111432 128632 130004 130929 174572 176434 192948 195006 222864 257264 260008 261858 264651 305501 349144 352868 385896 390012 520016 523716 529302 611002 617519 698288 705736 771792 780024 916503 1047432 1058604 1222004 1235038 1411472 1560048 1833006 1852557 2094864 2117208 2444008 2470076 3666012 3705114 4234416 4888016 4940152 7332024 7410228 9880304 10664971 14664048 14820456 21329942 29640912 31994913 42659884 63989826 74654797 85319768 127979652 149309594 170639536 202634449 223964391 255959304 298619188 405268898 447928782 511918608 597238376 607903347 810537796 895857564 1194476752 1215806694 1418441143 1621075592 1791715128 2431613388 2836882286 3242151184 3583430256 4255323429 4863226776 5673764572 8510646858 9726453552 11347529144 17021293716 22695058288 34042587432 68085174864