Search a number
-
+
12166460424 = 2332168978617
BaseRepresentation
bin10110101010010110…
…10111010000001000
31011101220100020010100
423111023113100020
5144404103213144
65331133245400
7610332131046
oct132513272010
934356306110
1012166460424
115183716878
122436633860
1311bb7a7a11
14835b8d396
154b31a2269
hex2d52d7408

12166460424 has 24 divisors (see below), whose sum is σ = 32950830510. Its totient is φ = 4055486784.

The previous prime is 12166460407. The next prime is 12166460447. The reversal of 12166460424 is 42406466121.

12166460424 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 646 + 0 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6759799524 + 5406660900 = 82218^2 + 73530^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84489237 + ... + 84489380.

Almost surely, 212166460424 is an apocalyptic number.

It is an amenable number.

12166460424 is an abundant number, since it is smaller than the sum of its proper divisors (20784370086).

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

12166460424 is a wasteful number, since it uses less digits than its factorization.

12166460424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168978629 (or 168978622 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12166460424 in words is "twelve billion, one hundred sixty-six million, four hundred sixty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 168978617 337957234 506935851 675914468 1013871702 1351828936 1520807553 2027743404 3041615106 4055486808 6083230212 12166460424