Search a number
-
+
4612112164 = 22111031079511
BaseRepresentation
bin1000100101110011…
…10011111100100100
3102220102111120111001
410102321303330210
533421200042124
62041353323044
7222202210102
oct42271637444
912812446431
104612112164
111a57465150
12a88706484
1358669b36a
1431a770c72
151bed86b44
hex112e73f24

4612112164 has 48 divisors (see below), whose sum is σ = 8974457856. Its totient is φ = 2056442400.

The previous prime is 4612112161. The next prime is 4612112201.

4612112164 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46121121642 = 42543157226633525792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4612112161) 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 15 ways as a sum of consecutive naturals, for example, 480169 + ... + 489679.

It is an arithmetic number, because the mean of its divisors is an integer number (186967872).

Almost surely, 24612112164 is an apocalyptic number.

4612112164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4612112164 is a deficient number, since it is larger than the sum of its proper divisors (4362345692).

4612112164 is a wasteful number, since it uses less digits than its factorization.

4612112164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9736 (or 9734 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 4612112164 is about 67912.5331879175. The cubic root of 4612112164 is about 1664.5619139195.

It can be divided in two parts, 46121 and 12164, that added together give a palindrome (58285).

The spelling of 4612112164 in words is "four billion, six hundred twelve million, one hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 103 107 206 214 412 428 1133 1177 2266 2354 4532 4708 9511 11021 19022 22042 38044 44084 104621 121231 209242 242462 418484 484924 979633 1017677 1959266 2035354 3918532 4070708 10775963 11194447 21551926 22388894 43103852 44777788 104820731 209641462 419282924 1153028041 2306056082 4612112164