Search a number
-
+
12179506196 = 22112132612441
BaseRepresentation
bin10110101011111010…
…01000010000010100
31011102210220000120002
423111331020100110
5144420423144241
65332321030432
7610551044264
oct132575102024
934383800502
1012179506196
115190017300
12243aa85418
1311c13c4a00
148377c77a4
154b43cc89b
hex2d5f48414

12179506196 has 108 divisors (see below), whose sum is σ = 25795153692. Its totient is φ = 5024448000.

The previous prime is 12179506193. The next prime is 12179506243. The reversal of 12179506196 is 69160597121.

It can be written as a sum of positive squares in 6 ways, for example, as 7794417796 + 4385088400 = 88286^2 + 66220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12179506196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12179506193) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4988336 + ... + 4990776.

Almost surely, 212179506196 is an apocalyptic number.

It is an amenable number.

12179506196 is an abundant number, since it is smaller than the sum of its proper divisors (13615647496).

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

12179506196 is a wasteful number, since it uses less digits than its factorization.

12179506196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 47.

The spelling of 12179506196 in words is "twelve billion, one hundred seventy-nine million, five hundred six thousand, one hundred ninety-six".

Divisors: 1 2 4 11 13 22 26 44 52 61 121 122 143 169 242 244 286 338 484 572 671 676 793 1342 1573 1586 1859 2441 2684 3146 3172 3718 4882 6292 7381 7436 8723 9764 10309 14762 17446 20449 20618 26851 29524 31733 34892 40898 41236 53702 63466 81796 95953 107404 113399 126932 148901 191906 226798 295361 297802 349063 383812 412529 453596 590722 595604 698126 825058 1181444 1247389 1396252 1637911 1650116 1935713 2494778 3275822 3839693 3871426 4537819 4989556 6551644 7679386 7742852 9075638 15358772 18017021 18151276 21292843 25164269 36034042 42585686 49916009 50328538 72068084 85171372 99832018 100657076 199664036 234221273 276806959 468442546 553613918 936885092 1107227836 3044876549 6089753098 12179506196