Search a number
-
+
4164192676 = 2272313718523
BaseRepresentation
bin1111100000110100…
…1000100110100100
3101202012122220110101
43320031020212210
532012013131201
61525113033444
7205123024300
oct37015104644
911665586411
104164192676
11184763a656
129826b5884
1351494c647
142b7094d00
151958a9d01
hexf83489a4

4164192676 has 72 divisors (see below), whose sum is σ = 8987548416. Its totient is φ = 1680315840.

The previous prime is 4164192673. The next prime is 4164192677. The reversal of 4164192676 is 6762914614.

It is not an unprimeable number, because it can be changed into a prime (4164192673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215551 + ... + 234073.

Almost surely, 24164192676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164192676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493774208).

4164192676 is an abundant number, since it is smaller than the sum of its proper divisors (4823355740).

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

4164192676 is a wasteful number, since it uses less digits than its factorization.

4164192676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18609 (or 18600 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 4164192676 is about 64530.5561420324. The cubic root of 4164192676 is about 1608.8304297248.

The spelling of 4164192676 in words is "four billion, one hundred sixty-four million, one hundred ninety-two thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 31 37 49 62 74 98 124 148 196 217 259 434 518 868 1036 1147 1519 1813 2294 3038 3626 4588 6076 7252 8029 16058 18523 32116 37046 56203 74092 112406 129661 224812 259322 518644 574213 685351 907627 1148426 1370702 1815254 2296852 2741404 3630508 4019491 4797457 8038982 9594914 16077964 19189828 21245881 28136437 33582199 42491762 56272874 67164398 84983524 112545748 134328796 148721167 297442334 594884668 1041048169 2082096338 4164192676