Search a number
-
+
11150235706204 = 22717414603124123
BaseRepresentation
bin1010001001000001110111…
…0101101010001101011100
31110110221201002122022022101
42202100131311222031130
52430141140320044304
635414203024054444
72230402143464560
oct242203565521534
943427632568271
1011150235706204
113609874408681
121300ba7464424
1362b60277cb2a
142a79623616a0
1514509ace78a4
hexa241dd6a35c

11150235706204 has 96 divisors (see below), whose sum is σ = 24193622509056. Its totient is φ = 4386888529920.

The previous prime is 11150235706177. The next prime is 11150235706223. The reversal of 11150235706204 is 40260753205111.

It is a super-2 number, since 2×111502357062042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89770087 + ... + 89894209.

It is an arithmetic number, because the mean of its divisors is an integer number (252016901136).

Almost surely, 211150235706204 is an apocalyptic number.

11150235706204 is a gapful number since it is divisible by the number (14) 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 11150235706204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096811254528).

11150235706204 is an abundant number, since it is smaller than the sum of its proper divisors (13043386802852).

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

11150235706204 is a wasteful number, since it uses less digits than its factorization.

11150235706204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128795 (or 128793 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 11150235706204 in words is "eleven trillion, one hundred fifty billion, two hundred thirty-five million, seven hundred six thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 164 238 287 476 574 697 1148 1394 2788 4603 4879 9206 9758 18412 19516 32221 64442 78251 124123 128884 156502 188723 248246 313004 377446 496492 547757 754892 868861 1095514 1321061 1737722 2110091 2191028 2642122 3208291 3475444 4220182 5089043 5284244 6416582 8440364 10178086 12833164 14770637 20356172 22458037 29541274 35623301 44916074 59082548 71246602 86513731 89832148 142493204 173027462 346054924 571338169 605596117 1142676338 1211192234 2285352676 2422384468 3999367183 7998734366 9712748873 15997468732 19425497746 23424864929 38850995492 46849729858 67989242111 93699459716 135978484222 163974054503 271956968444 327948109006 398222703793 655896218012 796445407586 1592890815172 2787558926551 5575117853102 11150235706204