Search a number
-
+
2012187813372 = 22321129509344237
BaseRepresentation
bin11101010001111111101…
…111010110010111111100
321010100210211100220211100
4131101333233112113330
5230431430040011442
64140215240053100
7265242614131452
oct35217757262774
97110724326740
102012187813372
11706400621420
12285b85764190
131179965a7269
146d5673da9d2
153751ce9b84c
hex1d47fbd65fc

2012187813372 has 144 divisors (see below), whose sum is σ = 5751390808800. Its totient is φ = 587569543680.

The previous prime is 2012187813359. The next prime is 2012187813373. The reversal of 2012187813372 is 2733187812102.

2012187813372 is a `hidden beast` number, since 2 + 0 + 121 + 87 + 81 + 3 + 372 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012187813373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5673238 + ... + 6017474.

It is an arithmetic number, because the mean of its divisors is an integer number (39940213950).

Almost surely, 22012187813372 is an apocalyptic number.

2012187813372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012187813372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875695404400).

2012187813372 is an abundant number, since it is smaller than the sum of its proper divisors (3739202995428).

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

2012187813372 is a wasteful number, since it uses less digits than its factorization.

2012187813372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344796 (or 344791 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 2012187813372 in words is "two trillion, twelve billion, one hundred eighty-seven million, eight hundred thirteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 509 522 638 957 1018 1044 1276 1527 1914 2036 2871 3054 3828 4581 5599 5742 6108 9162 11198 11484 14761 16797 18324 22396 29522 33594 44283 50391 59044 67188 88566 100782 132849 162371 177132 201564 265698 324742 344237 487113 531396 649484 688474 974226 1032711 1376948 1461339 1948452 2065422 2922678 3098133 3786607 4130844 5845356 6196266 7573214 9982873 11359821 12392532 15146428 19965746 22719642 29948619 34079463 39931492 45439284 59897238 68158926 89845857 109811603 119794476 136317852 175216633 179691714 219623206 329434809 350433266 359383428 439246412 525649899 658869618 700866532 988304427 1051299798 1317739236 1576949697 1927382963 1976608854 2102599596 3153899394 3854765926 3953217708 5081282357 5782148889 6307798788 7709531852 10162564714 11564297778 15243847071 17346446667 20325129428 23128595556 30487694142 34692893334 45731541213 55894105927 60975388284 69385786668 91463082426 111788211854 167682317781 182926164852 223576423708 335364635562 503046953343 670729271124 1006093906686 2012187813372