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33204324042 = 2324167739199
BaseRepresentation
bin11110111011001000…
…011100011011001010
310011201001210102121100
4132323020130123022
51021000301332132
623130455522230
72253556045311
oct367310343312
9104631712540
1033204324042
1113099a8011a
126528089376
1331921b8b26
14186dc3b278
15ce50cd37c
hex7bb21c6ca

33204324042 has 96 divisors (see below), whose sum is σ = 75830227200. Its totient is φ = 10490135040.

The previous prime is 33204324017. The next prime is 33204324091. The reversal of 33204324042 is 24042340233.

33204324042 is a `hidden beast` number, since 332 + 0 + 4 + 324 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×332043240422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33204323997 and 33204324015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3604959 + ... + 3614157.

It is an arithmetic number, because the mean of its divisors is an integer number (789898200).

Almost surely, 233204324042 is an apocalyptic number.

33204324042 is an abundant number, since it is smaller than the sum of its proper divisors (42625903158).

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

33204324042 is a wasteful number, since it uses less digits than its factorization.

33204324042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9388 (or 9385 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 33204324042 its reverse (24042340233), we get a palindrome (57246664275).

The spelling of 33204324042 in words is "thirty-three billion, two hundred four million, three hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 41 67 73 82 123 134 146 201 219 246 369 402 438 603 657 738 1206 1314 2747 2993 4891 5494 5986 8241 8979 9199 9782 14673 16482 17958 18398 24723 26937 27597 29346 44019 49446 53874 55194 82791 88038 165582 200531 377159 401062 601593 616333 671527 754318 1131477 1203186 1232666 1343054 1804779 1848999 2014581 2262954 3394431 3609558 3697998 4029162 5546997 6043743 6788862 11093994 12087486 25269653 27532607 44992309 50539306 55065214 75808959 82597821 89984618 134976927 151617918 165195642 227426877 247793463 269953854 404930781 454853754 495586926 809861562 1844684669 3689369338 5534054007 11068108014 16602162021 33204324042