Search a number
-
+
3966635345220 = 2232546747471407
BaseRepresentation
bin111001101110001101111…
…001000000010101000100
3112001012120122012121220100
4321232031321000111010
51004442132122021340
612234125213404100
7556402631060112
oct71561571002504
915035518177810
103966635345220
11129a271273709
12540916199630
1322a08a634762
14d9db40c8ab2
156d2abcab830
hex39b8de40544

3966635345220 has 72 divisors (see below), whose sum is σ = 12032410126464. Its totient is φ = 1057744554048.

The previous prime is 3966635345219. The next prime is 3966635345243. The reversal of 3966635345220 is 225435366693.

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 23 ways as a sum of consecutive naturals, for example, 8178757 + ... + 8650163.

It is an arithmetic number, because the mean of its divisors is an integer number (167116807312).

Almost surely, 23966635345220 is an apocalyptic number.

3966635345220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3966635345220 is an abundant number, since it is smaller than the sum of its proper divisors (8065774781244).

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

3966635345220 is a wasteful number, since it uses less digits than its factorization.

3966635345220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518169 (or 518164 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 3966635345220 in words is "three trillion, nine hundred sixty-six billion, six hundred thirty-five million, three hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 46747 93494 140241 186988 233735 280482 420723 467470 471407 560964 701205 841446 934940 942814 1402410 1414221 1682892 1885628 2103615 2357035 2804820 2828442 4207230 4242663 4714070 5656884 7071105 8414460 8485326 9428140 14142210 16970652 21213315 28284420 42426630 84853260 22036863029 44073726058 66110589087 88147452116 110184315145 132221178174 198331767261 220368630290 264442356348 330552945435 396663534522 440737260580 661105890870 793327069044 991658836305 1322211781740 1983317672610 3966635345220