Search a number
-
+
11000061410432 = 27233952194543
BaseRepresentation
bin1010000000010010011011…
…0000001011110010000000
31102221121002012012122120212
42200010212300023302000
52420211111210113212
635221205231453252
72213504530153433
oct240044660136200
942847065178525
1011000061410432
113561110993536
121297a76387228
1361a3bc075ca3
142a059779d81a
1514120bc89e22
hexa0126c0bc80

11000061410432 has 64 divisors (see below), whose sum is σ = 22867795964160. Its totient is φ = 5260710174720.

The previous prime is 11000061410357. The next prime is 11000061410473. The reversal of 11000061410432 is 23401416000011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×110000614104323 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 11000061410398 and 11000061410407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116302553 + ... + 116397095.

It is an arithmetic number, because the mean of its divisors is an integer number (357309311940).

Almost surely, 211000061410432 is an apocalyptic number.

It is an amenable number.

11000061410432 is an abundant number, since it is smaller than the sum of its proper divisors (11867734553728).

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

11000061410432 is an equidigital number, since it uses as much as digits as its factorization.

11000061410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134101 (or 134089 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 11000061410432 its reverse (23401416000011), we get a palindrome (34401477410443).

The spelling of 11000061410432 in words is "eleven trillion, sixty-one million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 39521 79042 94543 158084 189086 316168 378172 632336 756344 908983 1264672 1512688 1817966 2174489 2529344 3025376 3635932 4348978 5058688 6050752 7271864 8697956 12101504 14543728 17395912 29087456 34791824 58174912 69583648 116349824 139167296 278334592 3736433903 7472867806 14945735612 29891471224 59782942448 85937979769 119565884896 171875959538 239131769792 343751919076 478263539584 687503838152 1375007676304 2750015352608 5500030705216 11000061410432