Search a number
-
+
4164379605 = 32592541769
BaseRepresentation
bin1111100000110111…
…0110001111010101
3101202020000101212200
43320031312033111
532012040121410
61525121035113
7205124433261
oct37015661725
911666011780
104164379605
111847758041
12982785a99
135149b6759
142b71030a1
151958e53c0
hexf83763d5

4164379605 has 12 divisors (see below), whose sum is σ = 7218258060. Its totient is φ = 2221002432.

The previous prime is 4164379603. The next prime is 4164379633. The reversal of 4164379605 is 5069734614.

4164379605 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 37 + 9 + 605 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2865353841 + 1299025764 = 53529^2 + 36042^2 .

It is not a de Polignac number, because 4164379605 - 21 = 4164379603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 92541769 = 4164379605 / (4 + 1 + 6 + 4 + 3 + 7 + 9 + 6 + 0 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164379603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46270840 + ... + 46270929.

It is an arithmetic number, because the mean of its divisors is an integer number (601521505).

Almost surely, 24164379605 is an apocalyptic number.

4164379605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4164379605 is a deficient number, since it is larger than the sum of its proper divisors (3053878455).

4164379605 is a wasteful number, since it uses less digits than its factorization.

4164379605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92541780 (or 92541777 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4164379605 is about 64532.0045016424. The cubic root of 4164379605 is about 1608.8545026233.

The spelling of 4164379605 in words is "four billion, one hundred sixty-four million, three hundred seventy-nine thousand, six hundred five".

Divisors: 1 3 5 9 15 45 92541769 277625307 462708845 832875921 1388126535 4164379605