Search a number
-
+
2161673892 = 223473492731
BaseRepresentation
bin1000000011011000…
…1000011010100100
312120122120102010000
42000312020122210
513411342031032
6554300101300
7104365632150
oct20066103244
95518512100
102161673892
11a0a232654
12503b34830
13285b029a1
14167142060
15c9b9ae7c
hex80d886a4

2161673892 has 120 divisors (see below), whose sum is σ = 6479211200. Its totient is φ = 615625920.

The previous prime is 2161673869. The next prime is 2161673893. The reversal of 2161673892 is 2983761612.

2161673892 is a `hidden beast` number, since 21 + 616 + 7 + 3 + 8 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2161673893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 790167 + ... + 792897.

Almost surely, 22161673892 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 2161673892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239605600).

2161673892 is an abundant number, since it is smaller than the sum of its proper divisors (4317537308).

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

2161673892 is a wasteful number, since it uses less digits than its factorization.

2161673892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3092 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2161673892 is about 46493.8048776393. The cubic root of 2161673892 is about 1292.9946436328.

The spelling of 2161673892 in words is "two billion, one hundred sixty-one million, six hundred seventy-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 349 378 567 698 756 1047 1134 1396 2094 2268 2443 2731 3141 4188 4886 5462 6282 7329 8193 9423 9772 10924 12564 14658 16386 18846 19117 21987 24579 28269 29316 32772 37692 38234 43974 49158 56538 57351 65961 73737 76468 87948 98316 113076 114702 131922 147474 172053 197883 221211 229404 263844 294948 344106 395766 442422 516159 688212 791532 884844 953119 1032318 1548477 1906238 2064636 2859357 3096954 3812476 5718714 6193908 6671833 8578071 11437428 13343666 17156142 20015499 25734213 26687332 34312284 40030998 51468426 60046497 77202639 80061996 102936852 120092994 154405278 180139491 240185988 308810556 360278982 540418473 720557964 1080836946 2161673892