Search a number
-
+
5764224675 = 3521112975387
BaseRepresentation
bin1010101111001001…
…10001011010100011
3112212201101221201210
411113210301122203
543301120142200
62351551201203
7262562046516
oct52744613243
915781357653
105764224675
112498833350
12114a516203
1370b296b41
143c9796d7d
1523b0b3650
hex1579316a3

5764224675 has 48 divisors (see below), whose sum is σ = 10406512512. Its totient is φ = 2792102400.

The previous prime is 5764224671. The next prime is 5764224677.

5764224675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5764224675 - 22 = 5764224671 is a prime.

It is a super-2 number, since 2×57642246752 = 66452572207757711250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5764224671) 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 47 ways as a sum of consecutive naturals, for example, 1067332 + ... + 1072718.

It is an arithmetic number, because the mean of its divisors is an integer number (216802344).

Almost surely, 25764224675 is an apocalyptic number.

5764224675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5764224675 is a deficient number, since it is larger than the sum of its proper divisors (4642287837).

5764224675 is a wasteful number, since it uses less digits than its factorization.

5764224675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6703 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The square root of 5764224675 is about 75922.4912328356. The cubic root of 5764224675 is about 1793.0000433406. Note that the first 4 decimals are identical.

The spelling of 5764224675 in words is "five billion, seven hundred sixty-four million, two hundred twenty-four thousand, six hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 1297 3891 5387 6485 14267 16161 19455 26935 32425 42801 59257 71335 80805 97275 134675 177771 214005 296285 356675 404025 888855 1070025 1481425 4444275 6986939 20960817 34934695 76856329 104804085 174673475 230568987 384281645 524020425 1152844935 1921408225 5764224675