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33121423244 = 227131972292017
BaseRepresentation
bin11110110110001100…
…001100111110001100
310011111021210122002102
4132312030030332030
51020313041020434
623114335014232
72251531311110
oct366614147614
9104437718072
1033121423244
11130571a8568
12650436a378
13317ac812c0
141862c1b740
15cdcba507e
hex7b630cf8c

33121423244 has 96 divisors (see below), whose sum is σ = 72049380480. Its totient is φ = 12973105152.

The previous prime is 33121423213. The next prime is 33121423253. The reversal of 33121423244 is 44232412133.

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 31 ways as a sum of consecutive naturals, for example, 16420124 + ... + 16422140.

It is an arithmetic number, because the mean of its divisors is an integer number (750514380).

Almost surely, 233121423244 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 33121423244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36024690240).

33121423244 is an abundant number, since it is smaller than the sum of its proper divisors (38927957236).

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

33121423244 is a wasteful number, since it uses less digits than its factorization.

33121423244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2465 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

Adding to 33121423244 its reverse (44232412133), we get a palindrome (77353835377).

The spelling of 33121423244 in words is "thirty-three billion, one hundred twenty-one million, four hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 197 229 364 394 458 788 916 1379 1603 2017 2561 2758 2977 3206 4034 5122 5516 5954 6412 8068 10244 11908 14119 17927 20839 26221 28238 35854 41678 45113 52442 56476 71708 83356 90226 104884 180452 183547 315791 367094 397349 461893 586469 631582 734188 794698 923786 1172938 1263164 1589396 1847572 2345876 2781443 3233251 4105283 5165537 5562886 6004609 6466502 8210566 10331074 11125772 12009218 12933004 16421132 20662148 24018436 36158759 42032263 72317518 84064526 90992921 144635036 168129052 181985842 363971684 636950447 1182907973 1273900894 2365815946 2547801788 4731631892 8280355811 16560711622 33121423244