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34342331205052 = 221318141928013109
BaseRepresentation
bin1111100111011111100100…
…11100111100010110111100
311111121002120002221111210201
413303233302130330112330
514000131043242030202
6201012352115013244
710143102660544663
oct763576234742674
9144532502844721
1034342331205052
11aa40556731902
123a2793529a224
1316216110985c0
1486a26b86bdda
153e84c9912387
hex1f3bf273c5bc

34342331205052 has 96 divisors (see below), whose sum is σ = 65279267726400. Its totient is φ = 15714445824000.

The previous prime is 34342331204989. The next prime is 34342331205079. The reversal of 34342331205052 is 25050213324343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11046100474 + ... + 11046103582.

It is an arithmetic number, because the mean of its divisors is an integer number (679992372150).

Almost surely, 234342331205052 is an apocalyptic number.

It is an amenable number.

34342331205052 is a deficient number, since it is larger than the sum of its proper divisors (30936936521348).

34342331205052 is a wasteful number, since it uses less digits than its factorization.

34342331205052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527 (or 6525 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 34342331205052 its reverse (25050213324343), we get a palindrome (59392544529395).

The spelling of 34342331205052 in words is "thirty-four trillion, three hundred forty-two billion, three hundred thirty-one million, two hundred five thousand, fifty-two".

Divisors: 1 2 4 13 26 52 181 362 419 724 838 1676 2353 2801 3109 4706 5447 5602 6218 9412 10894 11204 12436 21788 36413 40417 72826 75839 80834 145652 151678 161668 303356 506981 562729 985907 1013962 1125458 1173619 1302671 1971814 2027924 2250916 2347238 2605342 3943628 4694476 5210684 6590753 7315477 8708309 13181506 14630954 15257047 16934723 17416618 26363012 29261908 30514094 33869446 34833236 61028188 67738892 113208017 212425039 226416034 235783451 424850078 452832068 471566902 849700156 943133804 1576203929 2761525507 3065184863 3152407858 3648781471 5523051014 6130369726 6304815716 7297562942 11046102028 12260739452 14595125884 20490651077 40981302154 47434159123 81962604308 94868318246 189736636492 660429446251 1320858892502 2641717785004 8585582801263 17171165602526 34342331205052