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11328360488172 = 223271322691524013
BaseRepresentation
bin1010010011011001011011…
…1001110001110011101100
31111002222110220211210000100
42210312112321301303230
52441100440241110142
640032102120231100
72246306222241660
oct244662671616354
944088426753010
1011328360488172
113678370190792
12132b61900b490
1364234ba596c0
142b241d0a48a0
15149a23a8ab4c
hexa4d96e71cec

11328360488172 has 144 divisors (see below), whose sum is σ = 35259344061760. Its totient is φ = 2986380762624.

The previous prime is 11328360488153. The next prime is 11328360488299. The reversal of 11328360488172 is 27188406382311.

11328360488172 is a `hidden beast` number, since 1 + 1 + 3 + 28 + 3 + 604 + 8 + 8 + 1 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6671238 + ... + 8195250.

Almost surely, 211328360488172 is an apocalyptic number.

11328360488172 is a gapful number since it is divisible by the number (12) 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 11328360488172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17629672030880).

11328360488172 is an abundant number, since it is smaller than the sum of its proper divisors (23930983573588).

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

11328360488172 is a wasteful number, since it uses less digits than its factorization.

11328360488172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526312 (or 1526307 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 11328360488172 in words is "eleven trillion, three hundred twenty-eight billion, three hundred sixty million, four hundred eighty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 2269 3276 4538 6807 9076 13614 15883 20421 27228 29497 31766 40842 47649 58994 63532 81684 88491 95298 117988 142947 176982 190596 206479 265473 285894 353964 412958 530946 571788 619437 825916 1061892 1238874 1524013 1858311 2477748 3048026 3716622 4572039 6096052 7433244 9144078 10668091 13716117 18288156 19812169 21336182 27432234 32004273 39624338 42672364 54864468 59436507 64008546 79248676 96012819 118873014 128017092 138685183 178309521 192025638 237746028 277370366 356619042 384051276 416055549 554740732 713238084 832111098 1248166647 1664222196 2496333294 3457985497 4992666588 6915970994 10373956491 13831941988 20747912982 24205898479 31121869473 41495825964 44953811461 48411796958 62243738946 72617695437 89907622922 96823593916 124487477892 134861434383 145235390874 179815245844 217853086311 269722868766 290470781748 314676680227 404584303149 435706172622 539445737532 629353360454 809168606298 871412345244 944030040681 1258706720908 1618337212596 1888060081362 2832090122043 3776120162724 5664180244086 11328360488172