Search a number
-
+
12205916424 = 23321331374157
BaseRepresentation
bin10110101111000011…
…11000000100001000
31011111122120210120200
423113201320010020
5144444203311144
65335103052200
7611321402112
oct132741700410
934448523520
1012205916424
1151a3a15739
1224478a1060
1311c6a10a70
1483b1003b2
154b6897c69
hex2d7878108

12205916424 has 96 divisors (see below), whose sum is σ = 35620504920. Its totient is φ = 3753566208.

The previous prime is 12205916417. The next prime is 12205916441. The reversal of 12205916424 is 42461950221.

It is a happy number.

12205916424 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 9 + 1 + 642 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11541204900 + 664711524 = 107430^2 + 25782^2 .

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 23 ways as a sum of consecutive naturals, for example, 2934154 + ... + 2938310.

Almost surely, 212205916424 is an apocalyptic number.

It is an amenable number.

12205916424 is an abundant number, since it is smaller than the sum of its proper divisors (23414588496).

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

12205916424 is a wasteful number, since it uses less digits than its factorization.

12205916424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319 (or 7312 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12205916424 in words is "twelve billion, two hundred five million, nine hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3137 4157 6274 8314 9411 12471 12548 16628 18822 24942 25096 28233 33256 37413 37644 40781 49884 54041 56466 74826 75288 81562 99768 108082 112932 122343 149652 162123 163124 216164 225864 244686 299304 324246 326248 367029 432328 486369 489372 648492 734058 972738 978744 1296984 1468116 1945476 2936232 3890952 13040509 26081018 39121527 52162036 78243054 104324072 117364581 156486108 169526617 234729162 312972216 339053234 469458324 508579851 678106468 938916648 1017159702 1356212936 1525739553 2034319404 3051479106 4068638808 6102958212 12205916424