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32068105680 = 24351331133049
BaseRepresentation
bin11101110111011010…
…000111010111010000
310001202212210120000210
4131313122013113100
51011133413340210
622422030444120
72213451254322
oct356732072720
9101685716023
1032068105680
1112666678486
12626b663640
133040996980
1417a2d91612
15c7a490e20
hex7776875d0

32068105680 has 160 divisors (see below), whose sum is σ = 107405625600. Its totient is φ = 7868067840.

The previous prime is 32068105621. The next prime is 32068105691. The reversal of 32068105680 is 8650186023.

It is a happy number.

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

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, 953796 + ... + 986844.

It is an arithmetic number, because the mean of its divisors is an integer number (671285160).

Almost surely, 232068105680 is an apocalyptic number.

32068105680 is a gapful number since it is divisible by the number (30) 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 32068105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53702812800).

32068105680 is an abundant number, since it is smaller than the sum of its proper divisors (75337519920).

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

32068105680 is a wasteful number, since it uses less digits than its factorization.

32068105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33389 (or 33383 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 32068105680 in words is "thirty-two billion, sixty-eight million, one hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 311 312 390 520 622 624 780 933 1040 1244 1555 1560 1866 2488 3110 3120 3732 4043 4665 4976 6220 7464 8086 9330 12129 12440 14928 16172 18660 20215 24258 24880 32344 33049 37320 40430 48516 60645 64688 66098 74640 80860 97032 99147 121290 132196 161720 165245 194064 198294 242580 264392 323440 330490 396588 429637 485160 495735 528784 660980 793176 859274 970320 991470 1288911 1321960 1586352 1718548 1982940 2148185 2577822 2643920 3437096 3965880 4296370 5155644 6444555 6874192 7931760 8592740 10278239 10311288 12889110 17185480 20556478 20622576 25778220 30834717 34370960 41112956 51391195 51556440 61669434 82225912 102782390 103112880 123338868 133617107 154173585 164451824 205564780 246677736 267234214 308347170 400851321 411129560 493355472 534468428 616694340 668085535 801702642 822259120 1068936856 1233388680 1336171070 1603405284 2004256605 2137873712 2466777360 2672342140 3206810568 4008513210 5344684280 6413621136 8017026420 10689368560 16034052840 32068105680