Search a number
-
+
68925669010224 = 243138911031125203
BaseRepresentation
bin11111010110000000000100…
…00001000110101100110000
3100001001020012101022211101020
433223000002001012230300
533013234232231311344
6402332003141535440
720342500221631005
oct1753000201065460
9301036171284336
1068925669010224
111aa642372a4474
12789230b114580
132c5c87cc439a0
14130403d5338ac
157e7dac817719
hex3eb002046b30

68925669010224 has 160 divisors (see below), whose sum is σ = 194085267747840. Its totient is φ = 20950577117184.

The previous prime is 68925669010153. The next prime is 68925669010249. The reversal of 68925669010224 is 42201096652986.

It is an unprimeable number.

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, 60693607 + ... + 61818809.

It is an arithmetic number, because the mean of its divisors is an integer number (1213032923424).

Almost surely, 268925669010224 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 68925669010224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97042633873920).

68925669010224 is an abundant number, since it is smaller than the sum of its proper divisors (125159598737616).

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

68925669010224 is a wasteful number, since it uses less digits than its factorization.

68925669010224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126419 (or 1126413 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 68925669010224 in words is "sixty-eight trillion, nine hundred twenty-five billion, six hundred sixty-nine million, ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1068 1103 1157 1424 2136 2206 2314 3309 3471 4272 4412 4628 6618 6942 8824 9256 13236 13884 14339 17648 18512 26472 27768 28678 43017 52944 55536 57356 86034 98167 114712 172068 196334 229424 294501 344136 392668 589002 688272 785336 1125203 1178004 1276171 1570672 2250406 2356008 2552342 3375609 3828513 4500812 4712016 5104684 6751218 7657026 9001624 10209368 13502436 14627639 15314052 18003248 20418736 27004872 29255278 30628104 43882917 54009744 58510556 61256208 87765834 100143067 117021112 175531668 200286134 234042224 300429201 351063336 400572268 600858402 702126672 801144536 1201716804 1241098909 1301859871 1602289072 2403433608 2482197818 2603719742 3723296727 3905579613 4806867216 4964395636 5207439484 7446593454 7811159226 9928791272 10414878968 14893186908 15622318452 16134285817 19857582544 20829757936 29786373816 31244636904 32268571634 48402857451 59572747632 62489273808 64537143268 96805714902 110457802901 129074286536 193611429804 220915605802 258148573072 331373408703 387222859608 441831211604 662746817406 774445719216 883662423208 1325493634812 1435951437713 1767324846416 2650987269624 2871902875426 4307854313139 5301974539248 5743805750852 8615708626278 11487611501704 17231417252556 22975223003408 34462834505112 68925669010224