Search a number
-
+
3205144085 = 5111347127751
BaseRepresentation
bin1011111100001010…
…1001111000010101
322021101001012010012
42333002221320111
523031004102320
61250013210005
7142266163253
oct27702517025
98241035105
103205144085
1113a5247210
12755490905
133c1050080
142259675d3
1513b5b74c5
hexbf0a9e15

3205144085 has 64 divisors (see below), whose sum is σ = 4657250304. Its totient is φ = 2086560000.

The previous prime is 3205144081. The next prime is 3205144087. The reversal of 3205144085 is 5804415023.

It is not a de Polignac number, because 3205144085 - 22 = 3205144081 is a prime.

It is a super-2 number, since 2×32051440852 = 20545897211220974450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205144081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4267460 + ... + 4268210.

It is an arithmetic number, because the mean of its divisors is an integer number (72769536).

Almost surely, 23205144085 is an apocalyptic number.

It is an amenable number.

3205144085 is a deficient number, since it is larger than the sum of its proper divisors (1452106219).

3205144085 is a wasteful number, since it uses less digits than its factorization.

3205144085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954.

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 3205144085 is about 56613.9919542864. The cubic root of 3205144085 is about 1474.4018005187.

The spelling of 3205144085 in words is "three billion, two hundred five million, one hundred forty-four thousand, eighty-five".

Divisors: 1 5 11 13 47 55 65 127 143 235 517 611 635 715 751 1397 1651 2585 3055 3755 5969 6721 6985 8255 8261 9763 18161 29845 33605 35297 41305 48815 65659 77597 90805 95377 107393 176485 328295 387985 388267 458861 476885 536965 853567 1049147 1239901 1941335 2294305 4267835 4482719 5047471 5245735 6199505 13638911 22413595 25237355 49309909 58275347 68194555 246549545 291376735 641028817 3205144085