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4112198685 = 345737197199
BaseRepresentation
bin1111010100011011…
…0010110000011101
3101121120211100010000
43311012302300131
531410210324220
61520014404513
7203622053310
oct36506626035
911546740100
104112198685
111820257811
12969200739
13506c4677a
142b01dc977
15191039390
hexf51b2c1d

4112198685 has 160 divisors (see below), whose sum is σ = 8739878400. Its totient is φ = 1810626048.

The previous prime is 4112198627. The next prime is 4112198693. The reversal of 4112198685 is 5868912114.

It is a happy number.

It is not a de Polignac number, because 4112198685 - 226 = 4045089821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4112198685.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20664216 + ... + 20664414.

It is an arithmetic number, because the mean of its divisors is an integer number (54624240).

Almost surely, 24112198685 is an apocalyptic number.

4112198685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4112198685 is an abundant number, since it is smaller than the sum of its proper divisors (4627679715).

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

4112198685 is a wasteful number, since it uses less digits than its factorization.

4112198685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 4112198685 is about 64126.4273525354. The cubic root of 4112198685 is about 1602.1064294060.

It can be divided in two parts, 411219 and 8685, that added together give a square (419904 = 6482).

The spelling of 4112198685 in words is "four billion, one hundred twelve million, one hundred ninety-eight thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 81 105 111 135 185 189 197 199 259 315 333 405 555 567 591 597 777 945 985 995 999 1295 1379 1393 1665 1773 1791 2331 2835 2955 2985 2997 3885 4137 4179 4995 5319 5373 6895 6965 6993 7289 7363 8865 8955 11655 12411 12537 14985 15957 16119 20685 20895 20979 21867 22089 26595 26865 34965 36445 36815 37233 37611 39203 51023 51541 62055 62685 65601 66267 79785 80595 104895 109335 110445 111699 112833 117609 153069 154623 186165 188055 196015 196803 198801 255115 257705 274421 328005 331335 352827 459207 463869 558495 564165 588045 590409 596403 765345 773115 823263 984015 994005 1058481 1372105 1377621 1391607 1450511 1764135 2296035 2319345 2469789 2952045 2982015 3175443 4116315 4132863 4174821 4351533 5292405 6888105 6958035 7252555 7409367 10153577 12348945 13054599 15877215 20664315 20874105 21757665 22228101 30460731 37046835 39163797 50767885 65272995 91382193 111140505 117491391 152303655 195818985 274146579 456910965 587456955 822439737 1370732895 4112198685