Search a number
-
+
245024331433452 = 22345328015094191
BaseRepresentation
bin110111101101100100101100…
…001111001000010111101100
31012010120002121221120002020000
4313231210230033020113230
5224103434312321332302
62225042342433224300
7102416265231042324
oct6755445417102754
91163502557502200
10245024331433452
1171088265360a6a
1223593434a02090
13a69490679c2ac
144471353118284
151d4d9a263b31c
hexded92c3c85ec

245024331433452 has 120 divisors (see below), whose sum is σ = 652860826656192. Its totient is φ = 80105118912000.

The previous prime is 245024331433451. The next prime is 245024331433471. The reversal of 245024331433452 is 254334133420542.

245024331433452 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 24 + 33 + 143 + 3 + 452 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 245024331433398 and 245024331433407.

It is not an unprimeable number, because it can be changed into a prime (245024331433451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45551677 + ... + 50645867.

Almost surely, 2245024331433452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245024331433452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326430413328096).

245024331433452 is an abundant number, since it is smaller than the sum of its proper divisors (407836495222740).

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

245024331433452 is a wasteful number, since it uses less digits than its factorization.

245024331433452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097061 (or 5097050 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Adding to 245024331433452 its reverse (254334133420542), we get a palindrome (499358464853994).

The spelling of 245024331433452 in words is "two hundred forty-five trillion, twenty-four billion, three hundred thirty-one million, four hundred thirty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2801 2862 4293 5602 5724 8403 8586 11204 16806 17172 25209 33612 50418 75627 100836 148453 151254 226881 296906 302508 445359 453762 593812 890718 907524 1336077 1781436 2672154 4008231 5094191 5344308 8016462 10188382 12024693 15282573 16032924 20376764 24049386 30565146 45847719 48098772 61130292 91695438 137543157 183390876 269992123 275086314 412629471 539984246 550172628 809976369 825258942 1079968492 1619952738 1650517884 2429929107 3239905476 4859858214 7289787321 9719716428 14268828991 14579574642 21869361963 28537657982 29159149284 42806486973 43738723926 57075315964 85612973946 87477447852 128419460919 171225947892 256838921838 385258382757 513677843676 756247936523 770516765514 1155775148271 1512495873046 1541033531028 2268743809569 2311550296542 3024991746092 4537487619138 4623100593084 6806231428707 9074975238276 13612462857414 20418694286121 27224925714828 40837388572242 61256082858363 81674777144484 122512165716726 245024331433452