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205342076112 = 243233155911777
BaseRepresentation
bin1011111100111101010…
…1110110110011010000
3201122000122100021021020
42333033111312303100
511331020032413422
6234155521155440
720556365563635
oct2771725666320
9648018307236
10205342076112
117a0a3281038
123396878bb80
1316495cbb364
149d1d78a18c
15551c44b95c
hex2fcf576cd0

205342076112 has 80 divisors (see below), whose sum is σ = 533130698880. Its totient is φ = 68104093696.

The previous prime is 205342076087. The next prime is 205342076113. The reversal of 205342076112 is 211670243502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205342076113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17429968 + ... + 17441744.

It is an arithmetic number, because the mean of its divisors is an integer number (6664133736).

Almost surely, 2205342076112 is an apocalyptic number.

It is an amenable number.

205342076112 is an abundant number, since it is smaller than the sum of its proper divisors (327788622768).

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

205342076112 is a wasteful number, since it uses less digits than its factorization.

205342076112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13580 (or 13574 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 205342076112 in words is "two hundred five billion, three hundred forty-two million, seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 233 466 699 932 1398 1559 1864 2796 3118 3728 4677 5592 6236 9354 11184 11777 12472 18708 23554 24944 35331 37416 47108 70662 74832 94216 141324 188432 282648 363247 565296 726494 1089741 1452988 2179482 2744041 2905976 4358964 5488082 5811952 8232123 8717928 10976164 16464246 17435856 18360343 21952328 32928492 36720686 43904656 55081029 65856984 73441372 110162058 131713968 146882744 220324116 293765488 440648232 881296464 4277959919 8555919838 12833879757 17111839676 25667759514 34223679352 51335519028 68447358704 102671038056 205342076112