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13228423884 = 223213192515927
BaseRepresentation
bin11000101000111100…
…11011101011001100
31021010220121120010100
430110132123223030
5204042434031014
610024351011100
7645545514324
oct142436335314
937126546110
1013228423884
115679111725
122692209a90
13132a7cb770
148d6c2a284
15526523009
hex31479bacc

13228423884 has 144 divisors (see below), whose sum is σ = 38063450880. Its totient is φ = 3840048000.

The previous prime is 13228423867. The next prime is 13228423891. The reversal of 13228423884 is 48832482231.

13228423884 is a `hidden beast` number, since 1 + 3 + 228 + 42 + 388 + 4 = 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, 2228929 + ... + 2234855.

It is an arithmetic number, because the mean of its divisors is an integer number (264329520).

Almost surely, 213228423884 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 13228423884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19031725440).

13228423884 is an abundant number, since it is smaller than the sum of its proper divisors (24835026996).

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

13228423884 is a wasteful number, since it uses less digits than its factorization.

13228423884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6215 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 13228423884 in words is "thirteen billion, two hundred twenty-eight million, four hundred twenty-three thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 251 342 468 494 502 684 741 753 988 1004 1482 1506 2223 2259 2964 3012 3263 4446 4518 4769 5927 6526 8892 9036 9538 9789 11854 13052 14307 17781 19076 19578 23708 28614 29367 35562 39156 42921 53343 57228 58734 61997 71124 77051 85842 106686 112613 117468 123994 154102 171684 185991 213372 225226 231153 247988 308204 337839 371982 450452 462306 557973 675678 693459 743964 924612 1013517 1115946 1351356 1386918 1463969 1487677 2027034 2231892 2773836 2927938 2975354 4054068 4391907 4463031 5855876 5950708 8783814 8926062 13175721 13389093 17567628 17852124 19339801 26351442 26778186 28265863 38679602 52702884 53556372 56531726 58019403 77359204 84797589 113063452 116038806 169595178 174058209 232077612 254392767 339190356 348116418 367456219 508785534 696232836 734912438 1017571068 1102368657 1469824876 2204737314 3307105971 4409474628 6614211942 13228423884