Search a number
-
+
12467285604 = 22321330926021
BaseRepresentation
bin10111001110001101…
…11010111001100100
31012011212101201200200
423213012322321210
5201013111114404
65421041110500
7620644115304
oct134706727144
935155351620
1012467285604
115318504224
1224bb328430
131238c04297
14863ad9604
154ce7c5839
hex2e71bae64

12467285604 has 36 divisors (see below), whose sum is σ = 31518106620. Its totient is φ = 4155289920.

The previous prime is 12467285587. The next prime is 12467285627. The reversal of 12467285604 is 40658276421.

12467285604 is a `hidden beast` number, since 1 + 2 + 4 + 67 + 28 + 560 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5995404900 + 6471880704 = 77430^2 + 80448^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12467285604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466114 + ... + 492134.

Almost surely, 212467285604 is an apocalyptic number.

It is an amenable number.

12467285604 is an abundant number, since it is smaller than the sum of its proper divisors (19050821016).

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

12467285604 is a wasteful number, since it uses less digits than its factorization.

12467285604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39340 (or 39335 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

Adding to 12467285604 its sum of digits (45), we get a square (12467285649 = 1116572).

It can be divided in two parts, 124672 and 85604, that added together give a triangular number (210276 = T648).

The spelling of 12467285604 in words is "twelve billion, four hundred sixty-seven million, two hundred eighty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 13309 26021 26618 39927 52042 53236 78063 79854 104084 119781 156126 159708 234189 239562 312252 468378 479124 936756 346313489 692626978 1038940467 1385253956 2077880934 3116821401 4155761868 6233642802 12467285604