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28417685112 = 23331728127541
BaseRepresentation
bin11010011101110100…
…110111011001111000
32201100110212222102000
4122131310313121320
5431144411410422
621015505341000
72024134223625
oct323564673170
981313788360
1028417685112
1111063051483
125611037760
1328ab611bbb
14153823934c
15b14c6ecac
hex69dd37678

28417685112 has 128 divisors (see below), whose sum is σ = 83881915200. Its totient is φ = 8883302400.

The previous prime is 28417685083. The next prime is 28417685113. The reversal of 28417685112 is 21158671482.

28417685112 is a `hidden beast` number, since 28 + 41 + 76 + 8 + 511 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28417685113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018062 + ... + 1045602.

Almost surely, 228417685112 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 28417685112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41940957600).

28417685112 is an abundant number, since it is smaller than the sum of its proper divisors (55464230088).

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

28417685112 is a wasteful number, since it uses less digits than its factorization.

28417685112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27854 (or 27844 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 28417685112 in words is "twenty-eight billion, four hundred seventeen million, six hundred eighty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 281 306 408 459 562 612 843 918 1124 1224 1686 1836 2248 2529 3372 3672 4777 5058 6744 7587 9554 10116 14331 15174 19108 20232 27541 28662 30348 38216 42993 55082 57324 60696 82623 85986 110164 114648 128979 165246 171972 220328 247869 257958 330492 343944 468197 495738 515916 660984 743607 936394 991476 1031832 1404591 1487214 1872788 1982952 2809182 2974428 3745576 4213773 5618364 5948856 7739021 8427546 11236728 12641319 15478042 16855092 23217063 25282638 30956084 33710184 46434126 50565276 61912168 69651189 92868252 101130552 131563357 139302378 185736504 208953567 263126714 278604756 394690071 417907134 526253428 557209512 789380142 835814268 1052506856 1184070213 1578760284 1671628536 2368140426 3157520568 3552210639 4736280852 7104421278 9472561704 14208842556 28417685112