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33134340316 = 22711232203363
BaseRepresentation
bin11110110110111101…
…011110100011011100
310011112012002212222111
4132312331132203130
51020324342342231
623115515523404
72252046150160
oct366675364334
9104465085874
1033134340316
1113063520330
126508759564
13318085483c
141864820ca0
15cddda74b1
hex7b6f5e8dc

33134340316 has 72 divisors (see below), whose sum is σ = 75573316224. Its totient is φ = 12348140640.

The previous prime is 33134340301. The next prime is 33134340341. The reversal of 33134340316 is 61304343133.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61251 + ... + 264613.

It is an arithmetic number, because the mean of its divisors is an integer number (1049629392).

Almost surely, 233134340316 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 33134340316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37786658112).

33134340316 is an abundant number, since it is smaller than the sum of its proper divisors (42438975908).

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

33134340316 is a wasteful number, since it uses less digits than its factorization.

33134340316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203431 (or 203406 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 33134340316 its reverse (61304343133), we get a palindrome (94438683449).

The spelling of 33134340316 in words is "thirty-three billion, one hundred thirty-four million, three hundred forty thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 529 644 1012 1058 1771 2116 3542 3703 5819 7084 7406 11638 14812 23276 40733 81466 162932 203363 406726 813452 1423541 2236993 2847082 4473986 4677349 5694164 8947972 9354698 15658951 18709396 31317902 32741443 51450839 62635804 65482886 102901678 107579027 130965772 205803356 215158054 360155873 430316108 720311746 753053189 1183369297 1440623492 1506106378 2366738594 3012212756 4733477188 8283585079 16567170158 33134340316