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4134543320205 = 3254179263107857
BaseRepresentation
bin111100001010100101111…
…111000110010010001101
3112122020222102200112012200
4330022211333012102031
51020220021042221310
612443214420152113
7604465560235014
oct74124577062215
915566872615180
104134543320205
1113544a4a0a491
12569376238639
1323cb690338cc
14104181d8da7b
1572837b179c0
hex3c2a5fc648d

4134543320205 has 96 divisors (see below), whose sum is σ = 7462600104960. Its totient is φ = 2115979407360.

The previous prime is 4134543320129. The next prime is 4134543320231. The reversal of 4134543320205 is 5020233454314.

4134543320205 is a `hidden beast` number, since 4 + 13 + 4 + 5 + 433 + 2 + 0 + 205 = 666.

It is not a de Polignac number, because 4134543320205 - 212 = 4134543316109 is a prime.

It is a super-2 number, since 2×41345433202052 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4134543320205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38279637 + ... + 38387493.

It is an arithmetic number, because the mean of its divisors is an integer number (77735417760).

Almost surely, 24134543320205 is an apocalyptic number.

4134543320205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4134543320205 is a deficient number, since it is larger than the sum of its proper divisors (3328056784755).

4134543320205 is a wasteful number, since it uses less digits than its factorization.

4134543320205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108251 (or 108248 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 4134543320205 its reverse (5020233454314), we get a palindrome (9154776774519).

The spelling of 4134543320205 in words is "four trillion, one hundred thirty-four billion, five hundred forty-three million, three hundred twenty thousand, two hundred five".

Divisors: 1 3 5 9 15 41 45 79 123 205 237 263 369 395 615 711 789 1185 1315 1845 2367 3239 3555 3945 9717 10783 11835 16195 20777 29151 32349 48585 53915 62331 97047 103885 107857 145755 161745 186993 311655 323571 485235 539285 851857 934965 970713 1617855 2555571 4259285 4422137 4853565 7666713 8520703 12777855 13266411 22110685 25562109 28366391 38333565 39799233 42603515 66332055 76686327 85099173 127810545 141831955 198996165 255297519 349348823 383431635 425495865 1048046469 1163022031 1276487595 1746744115 2240944889 3144139407 3489066093 5240232345 5815110155 6722834667 10467198279 11204724445 15720697035 17445330465 20168504001 33614173335 52335991395 91878740449 100842520005 275636221347 459393702245 826908664041 1378181106735 4134543320205