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68513565648 = 243111743177511
BaseRepresentation
bin111111110011101110…
…100000101111010000
320112211211100202021110
4333303232200233100
52110303433100043
651250311253320
74643554461543
oct776356405720
9215754322243
1068513565648
1127069137a30
121134107a240
1365cb4c4bb8
14345d44485a
151baed95b33
hexff3ba0bd0

68513565648 has 160 divisors (see below), whose sum is σ = 209197181952. Its totient is φ = 19085875200.

The previous prime is 68513565629. The next prime is 68513565671. The reversal of 68513565648 is 84656531586.

It is a super-3 number, since 3×685135656483 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297213 + ... + 474723.

Almost surely, 268513565648 is an apocalyptic number.

68513565648 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68513565648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104598590976).

68513565648 is an abundant number, since it is smaller than the sum of its proper divisors (140683616304).

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

68513565648 is a wasteful number, since it uses less digits than its factorization.

68513565648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177593 (or 177587 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 57.

The spelling of 68513565648 in words is "sixty-eight billion, five hundred thirteen million, five hundred sixty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 43 44 48 51 66 68 86 88 102 129 132 136 172 176 187 204 258 264 272 344 374 408 473 516 528 561 688 731 748 816 946 1032 1122 1419 1462 1496 1892 2064 2193 2244 2838 2924 2992 3784 4386 4488 5676 5848 7568 8041 8772 8976 11352 11696 16082 17544 22704 24123 32164 35088 48246 64328 96492 128656 177511 192984 355022 385968 532533 710044 1065066 1420088 1952621 2130132 2840176 3017687 3905242 4260264 5857863 6035374 7632973 7810484 8520528 9053061 11715726 12070748 15265946 15620968 18106122 22898919 23431452 24141496 30531892 31241936 33194557 36212244 45797838 46862904 48282992 61063784 66389114 72424488 83962703 91595676 93725808 99583671 122127568 129760541 132778228 144848976 167925406 183191352 199167342 251888109 259521082 265556456 335850812 366382704 389281623 398334684 503776218 519042164 531112912 671701624 778563246 796669368 1007552436 1038084328 1343403248 1427365951 1557126492 1593338736 2015104872 2076168656 2854731902 3114252984 4030209744 4282097853 5709463804 6228505968 8564195706 11418927608 17128391412 22837855216 34256782824 68513565648