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199632027204 = 223211326592
BaseRepresentation
bin1011100111101011111…
…1101111111001000100
3201002021200212201201100
42321322333233321010
511232321244332304
6231413143100100
720265032143011
oct2717277577104
9632250781640
10199632027204
1177733090855
1232834441630
1315a960124ac
14993b296708
1552d5eda439
hex2e7afefe44

199632027204 has 81 divisors (see below), whose sum is σ = 509904386173. Its totient is φ = 65855040384.

The previous prime is 199632027173. The next prime is 199632027209. The reversal of 199632027204 is 402720236991.

The square root of 199632027204 is 446802.

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

199632027204 is a `hidden beast` number, since 1 + 9 + 9 + 632 + 0 + 2 + 7 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3517676100 + 196114351104 = 59310^2 + 442848^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 199632027204.

It is not an unprimeable number, because it can be changed into a prime (199632027209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 302931427 + ... + 302932085.

Almost surely, 2199632027204 is an apocalyptic number.

199632027204 is the 446802-nd square number.

It is an amenable number.

199632027204 is an abundant number, since it is smaller than the sum of its proper divisors (310272358969).

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

199632027204 is an equidigital number, since it uses as much as digits as its factorization.

199632027204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 199632027204 in words is "one hundred ninety-nine billion, six hundred thirty-two million, twenty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 659 678 1017 1318 1356 1977 2034 2636 3954 4068 5931 7908 11862 12769 23724 25538 38307 51076 74467 76614 114921 148934 153228 223401 229842 297868 434281 446802 459684 670203 868562 893604 1302843 1340406 1737124 2605686 2680812 3908529 5211372 7817058 8414771 15634116 16829542 25244313 33659084 49073753 50488626 75732939 98147506 100977252 147221259 151465878 196295012 294442518 302931756 441663777 588885036 883327554 1766655108 5545334089 11090668178 16636002267 22181336356 33272004534 49908006801 66544009068 99816013602 199632027204