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33033413226 = 23111516415171
BaseRepresentation
bin11110110000111100…
…011110001001101010
310011021011012021001010
4132300330132021222
51020123023210401
623101512404350
72246412244122
oct366074361152
9104234167033
1033033413226
1113011556310
12649a9a66b6
133165978078
14185526bc82
15cd50bced6
hex7b0f1e26a

33033413226 has 64 divisors (see below), whose sum is σ = 72677440512. Its totient is φ = 9926400000.

The previous prime is 33033413207. The next prime is 33033413227. The reversal of 33033413226 is 62231433033.

It is a junction number, because it is equal to n+sod(n) for n = 33033413193 and 33033413202.

It is not an unprimeable number, because it can be changed into a prime (33033413227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6385621 + ... + 6390791.

It is an arithmetic number, because the mean of its divisors is an integer number (1135585008).

Almost surely, 233033413226 is an apocalyptic number.

33033413226 is an abundant number, since it is smaller than the sum of its proper divisors (39644027286).

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

33033413226 is a wasteful number, since it uses less digits than its factorization.

33033413226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 33033413226 its reverse (62231433033), we get a palindrome (95264846259).

The spelling of 33033413226 in words is "thirty-three billion, thirty-three million, four hundred thirteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 151 302 453 641 906 1282 1661 1923 3322 3846 4983 5171 7051 9966 10342 14102 15513 21153 31026 42306 56881 96791 113762 170643 193582 290373 341286 580746 780821 1064701 1561642 2129402 2342463 3194103 3314611 4684926 6388206 6629222 8589031 9943833 17178062 19887666 25767093 36460721 51534186 72921442 109382163 218764326 500506261 1001012522 1501518783 3003037566 5505568871 11011137742 16516706613 33033413226