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12086803600 = 24522322392
BaseRepresentation
bin10110100000110110…
…11111110010010000
31011012100110020111121
423100123133302100
5144223210203400
65315210052024
7605344064314
oct132033376220
934170406447
1012086803600
11514275a493
122413a1a014
1311a81378c1
14829375b44
154ab1ba21a
hex2d06dfc90

12086803600 has 135 divisors (see below), whose sum is σ = 30483528313. Its totient is φ = 4605166720.

The previous prime is 12086803511. The next prime is 12086803609. The reversal of 12086803600 is 630868021.

The square root of 12086803600 is 109940.

It is a perfect power (a square), and thus also a powerful number.

12086803600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4351249296 + 7735554304 = 65964^2 + 87952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12086803609) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 50572281 + ... + 50572519.

Almost surely, 212086803600 is an apocalyptic number.

12086803600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12086803600 is the 109940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12086803600

12086803600 is an abundant number, since it is smaller than the sum of its proper divisors (18396724713).

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

12086803600 is an equidigital number, since it uses as much as digits as its factorization.

12086803600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 12086803600 in words is "twelve billion, eighty-six million, eight hundred three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 239 368 400 460 478 529 575 920 956 1058 1150 1195 1840 1912 2116 2300 2390 2645 3824 4232 4600 4780 5290 5497 5975 8464 9200 9560 10580 10994 11950 13225 19120 21160 21988 23900 26450 27485 42320 43976 47800 52900 54970 57121 87952 95600 105800 109940 114242 126431 137425 211600 219880 228484 252862 274850 285605 439760 456968 505724 549700 571210 632155 913936 1011448 1099400 1142420 1264310 1313783 1428025 2022896 2198800 2284840 2528620 2627566 2856050 3160775 4569680 5057240 5255132 5712100 6321550 6568915 10114480 10510264 11424200 12643100 13137830 21020528 22848400 25286200 26275660 30217009 32844575 50572400 52551320 60434018 65689150 105102640 120868036 131378300 151085045 241736072 262756600 302170090 483472144 525513200 604340180 755425225 1208680360 1510850450 2417360720 3021700900 6043401800 12086803600