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5266868941100 = 22521331472780671
BaseRepresentation
bin100110010100100100111…
…0110100011000100101100
3200122111201011002222102202
41030221021312203010230
51142243021422103400
615111322144041032
71052342631222164
oct114511166430454
920574634088382
105266868941100
111750737234948
12710907903178
132c2881c49ac0
14142cbc6bd5a4
159200b4754d5
hex4ca49da312c

5266868941100 has 144 divisors (see below), whose sum is σ = 12975638839296. Its totient is φ = 1841915808000.

The previous prime is 5266868941057. The next prime is 5266868941111. The reversal of 5266868941100 is 11498686625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503765 + ... + 3284435.

Almost surely, 25266868941100 is an apocalyptic number.

5266868941100 is a gapful number since it is divisible by the number (50) 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 5266868941100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487819419648).

5266868941100 is an abundant number, since it is smaller than the sum of its proper divisors (7708769898196).

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

5266868941100 is a wasteful number, since it uses less digits than its factorization.

5266868941100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780776 (or 2780769 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 56.

Adding to 5266868941100 its sum of digits (56), we get a square (5266868941156 = 22949662).

The spelling of 5266868941100 in words is "five trillion, two hundred sixty-six billion, eight hundred sixty-eight million, nine hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 47 50 52 62 65 94 100 124 130 155 188 235 260 310 325 403 470 611 620 650 775 806 940 1175 1222 1300 1457 1550 1612 2015 2350 2444 2914 3055 3100 4030 4700 5828 6110 7285 8060 10075 12220 14570 15275 18941 20150 29140 30550 36425 37882 40300 61100 72850 75764 94705 145700 189410 378820 473525 947050 1894100 2780671 5561342 11122684 13903355 27806710 36148723 55613420 69516775 72297446 86200801 130691537 139033550 144594892 172401602 180743615 261383074 278067100 344803204 361487230 431004005 522766148 653457685 722974460 862008010 903718075 1120610413 1306915370 1698989981 1724016020 1807436150 2155020025 2241220826 2613830740 3267288425 3397979962 3614872300 4051437647 4310040050 4482441652 5603052065 6534576850 6795959924 8102875294 8494949905 8620080100 11206104130 13069153700 16205750588 16989899810 20257188235 22412208260 28015260325 33979799620 40514376470 42474749525 52668689411 56030520650 81028752940 84949499050 101285941175 105337378822 112061041300 169898998100 202571882350 210674757644 263343447055 405143764700 526686894110 1053373788220 1316717235275 2633434470550 5266868941100