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4084125705 = 34511283341
BaseRepresentation
bin1111001101101110…
…1101000000001001
3101112122000002020000
43303123231000021
531331014010310
61513132553213
7203131332012
oct36333550011
911478002200
104084125705
111806423100
1295b922809
1350119793a
142aa5b2009
1518d8414c0
hexf36ed009

4084125705 has 60 divisors (see below), whose sum is σ = 8047336836. Its totient is φ = 1980158400.

The previous prime is 4084125691. The next prime is 4084125737. The reversal of 4084125705 is 5075214804.

4084125705 is a `hidden beast` number, since 4 + 0 + 84 + 1 + 2 + 570 + 5 = 666.

4084125705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2691119376 + 1393006329 = 51876^2 + 37323^2 .

It is not a de Polignac number, because 4084125705 - 212 = 4084121609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4084125705.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7335 + ... + 90675.

Almost surely, 24084125705 is an apocalyptic number.

4084125705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4084125705 is a deficient number, since it is larger than the sum of its proper divisors (3963211131).

4084125705 is a wasteful number, since it uses less digits than its factorization.

4084125705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83380 (or 83360 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4084125705 is about 63907.1647391746. The cubic root of 4084125705 is about 1598.4523713497.

The spelling of 4084125705 in words is "four billion, eighty-four million, one hundred twenty-five thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 121 135 165 297 363 405 495 605 891 1089 1485 1815 3267 4455 5445 9801 16335 49005 83341 250023 416705 750069 916751 1250115 2250207 2750253 3750345 4583755 6750621 8250759 10084261 11251035 13751265 24752277 30252783 33753105 41253795 50421305 74256831 90758349 123761385 151263915 272275047 371284155 453791745 816825141 1361375235 4084125705