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68382287640 = 2333566919463
BaseRepresentation
bin111111101011111001…
…101110011100011000
320112111200100010201000
4333223321232130120
52110021331201030
651225301425000
74640401566042
oct775371563430
9215450303630
1068382287640
1127001022907
121130510b160
1365aa24c7c4
143449c30a92
151ba35b3860
hexfebe6e718

68382287640 has 128 divisors (see below), whose sum is σ = 227999116800. Its totient is φ = 18230624640.

The previous prime is 68382287639. The next prime is 68382287731. The reversal of 68382287640 is 4678228386.

It is a super-2 number, since 2×683822876402 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 7221549 + ... + 7231011.

It is an arithmetic number, because the mean of its divisors is an integer number (1781243100).

Almost surely, 268382287640 is an apocalyptic number.

68382287640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68382287640 is an abundant number, since it is smaller than the sum of its proper divisors (159616829160).

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

68382287640 is a wasteful number, since it uses less digits than its factorization.

68382287640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16174 (or 16164 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 68382287640 in words is "sixty-eight billion, three hundred eighty-two million, two hundred eighty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 6691 9463 13382 18926 20073 26764 28389 33455 37852 40146 47315 53528 56778 60219 66910 75704 80292 85167 94630 100365 113556 120438 133820 141945 160584 170334 180657 189260 200730 227112 240876 255501 267640 283890 301095 340668 361314 378520 401460 425835 481752 511002 567780 602190 681336 722628 802920 851670 903285 1022004 1135560 1204380 1277505 1445256 1703340 1806570 2044008 2408760 2555010 3406680 3613140 5110020 7226280 10220040 63316933 126633866 189950799 253267732 316584665 379901598 506535464 569852397 633169330 759803196 949753995 1139704794 1266338660 1519606392 1709557191 1899507990 2279409588 2532677320 2849261985 3419114382 3799015980 4558819176 5698523970 6838228764 7598031960 8547785955 11397047940 13676457528 17095571910 22794095880 34191143820 68382287640