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33421012640344 = 2372299533084911
BaseRepresentation
bin1111001100101011011111…
…00101100010001001011000
311101100000110211112010120201
413212111233211202021120
513340032213213442334
6155025222400431544
710016405564136400
oct746255745421130
9141300424463521
1033421012640344
11a71585439589a
1238b92716185b4
1315857849c9884
1483782b009800
153ce555a0dc14
hex1e656f962258

33421012640344 has 96 divisors (see below), whose sum is σ = 75488105131200. Its totient is φ = 13814868641280.

The previous prime is 33421012640341. The next prime is 33421012640363. The reversal of 33421012640344 is 44304621012433.

It is a super-2 number, since 2×334210126403442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33421012640341) 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 23 ways as a sum of consecutive naturals, for example, 9291249 + ... + 12376159.

It is an arithmetic number, because the mean of its divisors is an integer number (786334428450).

Almost surely, 233421012640344 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 33421012640344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37744052565600).

33421012640344 is an abundant number, since it is smaller than the sum of its proper divisors (42067092490856).

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

33421012640344 is a wasteful number, since it uses less digits than its factorization.

33421012640344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085913 (or 3085902 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 33421012640344 its reverse (44304621012433), we get a palindrome (77725633652777).

The spelling of 33421012640344 in words is "thirty-three trillion, four hundred twenty-one billion, twelve million, six hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 953 1421 1624 1906 2842 3812 5684 6671 7624 11368 13342 26684 27637 46697 53368 55274 93394 110548 186788 193459 221096 373576 386918 773836 1354213 1547672 2708426 3084911 5416852 6169822 10833704 12339644 21594377 24679288 43188754 86377508 89462419 151160639 172755016 178924838 302321278 357849676 604642556 626236933 715699352 1209285112 1252473866 2504947732 2939920183 4383658531 5009895464 5879840366 8767317062 11759680732 17534634124 20579441281 23519361464 35069268248 41158882562 82317765124 85257685307 144056088967 164635530248 170515370614 288112177934 341030741228 576224355868 596803797149 682061482456 1152448711736 1193607594298 2387215188596 4177626580043 4774430377192 8355253160086 16710506320172 33421012640344