Search a number
-
+
27668268180 = 22325731708353
BaseRepresentation
bin11001110001001010…
…000100010010010100
32122102020201122122100
4121301022010102110
5423131034040210
620413255002100
71666434253620
oct316112042224
978366648570
1027668268180
111080901a443
125442069330
1327bc28c927
1414a68ba180
15abe08a5c0
hex671284494

27668268180 has 144 divisors (see below), whose sum is σ = 99010888704. Its totient is φ = 6120161280.

The previous prime is 27668268161. The next prime is 27668268181. The reversal of 27668268180 is 8186286672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27668268181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315117 + ... + 393236.

It is an arithmetic number, because the mean of its divisors is an integer number (687575616).

Almost surely, 227668268180 is an apocalyptic number.

27668268180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27668268180 is an abundant number, since it is smaller than the sum of its proper divisors (71342620524).

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

27668268180 is a wasteful number, since it uses less digits than its factorization.

27668268180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708406 (or 708401 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 27668268180 in words is "twenty-seven billion, six hundred sixty-eight million, two hundred sixty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 5580 6510 7812 9765 13020 19530 39060 708353 1416706 2125059 2833412 3541765 4250118 4958471 6375177 7083530 8500236 9916942 10625295 12750354 14167060 14875413 19833884 21250590 21958943 24792355 25500708 29750826 31875885 42501180 43917886 44626239 49584710 59501652 63751770 65876829 74377065 87835772 89252478 99169420 109794715 127503540 131753658 148754130 153712601 178504956 197630487 219589430 223131195 263507316 297508260 307425202 329384145 395260974 439178860 446262390 461137803 614850404 658768290 768563005 790521948 892524780 922275606 988152435 1317536580 1383413409 1537126010 1844551212 1976304870 2305689015 2766826818 3074252020 3952609740 4611378030 5533653636 6917067045 9222756060 13834134090 27668268180