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11288935386 = 23319293112239
BaseRepresentation
bin10101000001101111…
…10111101111011010
31002010202010100002000
422200313313233122
5141104431413021
65104105021430
7546515240031
oct124067675732
932122110060
1011288935386
114873345273
122230784876
1310aba50131
14791403718
15461114b26
hex2a0df7bda

11288935386 has 128 divisors (see below), whose sum is σ = 28200960000. Its totient is φ = 3330694080.

The previous prime is 11288935331. The next prime is 11288935387. The reversal of 11288935386 is 68353988211.

11288935386 is a `hidden beast` number, since 1 + 1 + 28 + 89 + 3 + 538 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11288935387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 916255 + ... + 928493.

It is an arithmetic number, because the mean of its divisors is an integer number (220320000).

Almost surely, 211288935386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11288935386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480000).

11288935386 is an abundant number, since it is smaller than the sum of its proper divisors (16912024614).

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

11288935386 is a wasteful number, since it uses less digits than its factorization.

11288935386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12329 (or 12323 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 11288935386 in words is "eleven billion, two hundred eighty-eight million, nine hundred thirty-five thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 27 29 31 38 54 57 58 62 87 93 114 171 174 186 261 279 342 513 522 551 558 589 783 837 899 1026 1102 1178 1566 1653 1674 1767 1798 2697 3306 3534 4959 5301 5394 8091 9918 10602 12239 14877 15903 16182 17081 24273 24478 29754 31806 34162 36717 48546 51243 73434 102486 110151 153729 220302 232541 307458 330453 354931 379409 461187 465082 660906 697623 709862 758818 922374 1064793 1138227 1395246 2092869 2129586 2276454 3194379 3414681 4185738 6278607 6388758 6743689 6829362 7208771 9583137 10244043 11002861 12557214 13487378 14417542 19166274 20231067 20488086 21626313 22005722 33008583 40462134 43252626 60693201 64878939 66017166 99025749 121386402 129757878 182079603 194636817 198051498 209054359 297077247 364159206 389273634 418108718 594154494 627163077 1254326154 1881489231 3762978462 5644467693 11288935386