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38528470408284 = 22331723987803371
BaseRepresentation
bin10001100001010100110111…
…10010101101110001011100
312001102021201100101110121000
420300222123302231301130
520022222301411031114
6213535422430110300
711054406261640653
oct1060523362556134
9161367640343530
1038528470408284
111130491812392a
1243a30aa94b390
1318662b0692abc
14972b0609019a
1546c332058e09
hex230a9bcadc5c

38528470408284 has 96 divisors (see below), whose sum is σ = 106206958771200. Its totient is φ = 12036788386560.

The previous prime is 38528470408273. The next prime is 38528470408289. The reversal of 38528470408284 is 48280407482583.

38528470408284 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 8 + 470 + 4 + 0 + 82 + 84 = 666.

38528470408284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×385284704082843 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38528470408289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43462882 + ... + 44340489.

It is an arithmetic number, because the mean of its divisors is an integer number (1106322487200).

Almost surely, 238528470408284 is an apocalyptic number.

38528470408284 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

38528470408284 is an abundant number, since it is smaller than the sum of its proper divisors (67678488362916).

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

38528470408284 is a wasteful number, since it uses less digits than its factorization.

38528470408284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87803640 (or 87803632 counting only the distinct ones).

The product of its (nonzero) digits is 110100480, while the sum is 63.

The spelling of 38528470408284 in words is "thirty-eight trillion, five hundred twenty-eight billion, four hundred seventy million, four hundred eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 239 306 459 478 612 717 918 956 1434 1836 2151 2868 4063 4302 6453 8126 8604 12189 12906 16252 24378 25812 36567 48756 73134 109701 146268 219402 438804 87803371 175606742 263410113 351213484 526820226 790230339 1053640452 1492657307 1580460678 2370691017 2985314614 3160921356 4477971921 4741382034 5970629228 8955943842 9482764068 13433915763 17911887684 20985005669 26867831526 40301747289 41970011338 53735663052 62955017007 80603494578 83940022676 125910034014 161206989156 188865051021 251820068028 356745096373 377730102042 566595153063 713490192746 755460204084 1070235289119 1133190306126 1426980385492 2140470578238 2266380612252 3210705867357 4280941156476 6421411734714 9632117602071 12842823469428 19264235204142 38528470408284