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4113342984205 = 57135324197681
BaseRepresentation
bin111011110110110110010…
…110001111000000001101
3112120020020221111212112001
4323312312112033000031
51014343111300443310
612425351011312301
7603115321323160
oct73666626170015
915506227455461
104113342984205
111346505975244
1256523a2ab691
1323ab6aa778b0
141031304cbad7
1571ee67e693a
hex3bdb658f00d

4113342984205 has 96 divisors (see below), whose sum is σ = 6207464067840. Its totient is φ = 2548057374720.

The previous prime is 4113342984161. The next prime is 4113342984217. The reversal of 4113342984205 is 5024892433114.

It is not a de Polignac number, because 4113342984205 - 27 = 4113342984077 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 535517965 + ... + 535525645.

It is an arithmetic number, because the mean of its divisors is an integer number (64661084040).

Almost surely, 24113342984205 is an apocalyptic number.

It is an amenable number.

4113342984205 is a deficient number, since it is larger than the sum of its proper divisors (2094121083635).

4113342984205 is a wasteful number, since it uses less digits than its factorization.

4113342984205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

It can be divided in two parts, 411334298420 and 5, that multiplied together give a square (2056671492100 = 14341102).

The spelling of 4113342984205 in words is "four trillion, one hundred thirteen billion, three hundred forty-two million, nine hundred eighty-four thousand, two hundred five".

Divisors: 1 5 7 13 35 53 65 91 265 371 419 455 689 1855 2095 2809 2933 3445 4823 5447 7681 14045 14665 19663 22207 24115 27235 36517 38129 38405 53767 98315 99853 111035 155449 182585 190645 255619 268835 288691 407093 499265 698971 777245 1176971 1278095 1443455 2020837 2035465 2849651 3218339 3494855 5292209 5884855 8238797 10104185 14248255 15300623 16091695 21575929 22528373 26461045 37045463 41193985 41838407 76503115 107104361 107879645 112641865 151031503 170571967 185227315 209192035 280487077 292868849 535521805 755157515 852859835 1194003769 1402435385 1464344245 1963409539 2217435571 5970018845 9040314251 9817047695 11087177855 15522048997 45201571255 63282199757 77610244985 117524085263 316410998785 587620426315 822668596841 4113342984205