Search a number
-
+
1641111164 = 2271144911867
BaseRepresentation
bin110000111010001…
…0101111001111100
311020101001002021222
41201310111321330
511330111024124
6430502412512
755445133440
oct14164257174
94211032258
101641111164
11772401120
12399731138
13201ccb2c4
14117d56820
159912025e
hex61d15e7c

1641111164 has 48 divisors (see below), whose sum is σ = 3588883200. Its totient is φ = 637916160.

The previous prime is 1641111163. The next prime is 1641111179. The reversal of 1641111164 is 4611111461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641111163) 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, 132359 + ... + 144225.

It is an arithmetic number, because the mean of its divisors is an integer number (74768400).

Almost surely, 21641111164 is an apocalyptic number.

1641111164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1641111164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794441600).

1641111164 is an abundant number, since it is smaller than the sum of its proper divisors (1947772036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1641111164 is a wasteful number, since it uses less digits than its factorization.

1641111164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12338 (or 12336 counting only the distinct ones).

The product of its digits is 576, while the sum is 26.

The square root of 1641111164 is about 40510.6302592295. The cubic root of 1641111164 is about 1179.5399825185.

The spelling of 1641111164 in words is "one billion, six hundred forty-one million, one hundred eleven thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 449 898 1796 3143 4939 6286 9878 11867 12572 19756 23734 34573 47468 69146 83069 130537 138292 166138 261074 332276 522148 913759 1827518 3655036 5328283 10656566 21313132 37297981 58611113 74595962 117222226 149191924 234444452 410277791 820555582 1641111164