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209985732446868 = 22337893120886577
BaseRepresentation
bin101111101111101100011100…
…111111011000101010010100
31000112111102212201221111221000
4233233230130333120222110
5210010401240001244433
62022334040323223300
762141653126533240
oct5757543477305224
91015442781844830
10209985732446868
11609a94a3716544
121b674784b17b30
13902275355b371
1439bd513d11420
15194232664e113
hexbefb1cfd8a94

209985732446868 has 96 divisors (see below), whose sum is σ = 629170734124800. Its totient is φ = 59321812036608.

The previous prime is 209985732446827. The next prime is 209985732446879. The reversal of 209985732446868 is 868644237589902.

209985732446868 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 8 + 5 + 73 + 24 + 468 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560376005 + ... + 1560510572.

It is an arithmetic number, because the mean of its divisors is an integer number (6553861813800).

Almost surely, 2209985732446868 is an apocalyptic number.

209985732446868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

209985732446868 is an abundant number, since it is smaller than the sum of its proper divisors (419185001677932).

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

209985732446868 is a wasteful number, since it uses less digits than its factorization.

209985732446868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120886686 (or 3120886678 counting only the distinct ones).

The product of its (nonzero) digits is 10032906240, while the sum is 81.

The spelling of 209985732446868 in words is "two hundred nine trillion, nine hundred eighty-five billion, seven hundred thirty-two million, four hundred forty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 89 108 126 178 189 252 267 356 378 534 623 756 801 1068 1246 1602 1869 2403 2492 3204 3738 4806 5607 7476 9612 11214 16821 22428 33642 67284 3120886577 6241773154 9362659731 12483546308 18725319462 21846206039 28087979193 37450638924 43692412078 56175958386 65538618117 84263937579 87384824156 112351916772 131077236234 168527875158 196615854351 262154472468 277758905353 337055750316 393231708702 555517810706 589847563053 786463417404 833276716059 1111035621412 1179695126106 1666553432118 1944312337471 2359390252212 2499830148177 3333106864236 3888624674942 4999660296354 5832937012413 7499490444531 7777249349884 9999320592708 11665874024826 14998980889062 17498811037239 23331748049652 29997961778124 34997622074478 52496433111717 69995244148956 104992866223434 209985732446868