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73243933917680 = 245172232271063903
BaseRepresentation
bin10000101001110101101110…
…101010011100000111110000
3100121100001101200120222210102
4100221311232222130013300
534100012034040331210
6415435444305251532
721266461651002521
oct2051655652340760
9317301350528712
1073243933917680
112137963a25a679
12826b1b9333ba8
1331b3b47930466
14141304d67c848
15870399715ea5
hex429d6ea9c1f0

73243933917680 has 160 divisors (see below), whose sum is σ = 181915940634624. Its totient is φ = 27329582665728.

The previous prime is 73243933917667. The next prime is 73243933917709. The reversal of 73243933917680 is 8671933934237.

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 31 ways as a sum of consecutive naturals, for example, 68312609 + ... + 69376511.

Almost surely, 273243933917680 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 73243933917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90957970317312).

73243933917680 is an abundant number, since it is smaller than the sum of its proper divisors (108672006716944).

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

73243933917680 is a wasteful number, since it uses less digits than its factorization.

73243933917680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064383 (or 1064377 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 65.

The spelling of 73243933917680 in words is "seventy-three trillion, two hundred forty-three billion, nine hundred thirty-three million, nine hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 223 227 272 340 446 454 680 892 908 1115 1135 1360 1784 1816 2230 2270 3568 3632 3791 3859 4460 4540 7582 7718 8920 9080 15164 15436 17840 18160 18955 19295 30328 30872 37910 38590 50621 60656 61744 75820 77180 101242 151640 154360 202484 253105 303280 308720 404968 506210 809936 860557 1012420 1063903 1721114 2024840 2127806 3442228 4049680 4255612 4302785 5319515 6884456 8511224 8605570 10639030 13768912 17022448 17211140 18086351 21278060 34422280 36172702 42556120 68844560 72345404 85112240 90431755 144690808 180863510 237250369 241505981 289381616 361727020 474500738 483011962 723454040 949001476 966023924 1186251845 1207529905 1446908080 1898002952 1932047848 2372503690 2415059810 3796005904 3864095696 4033256273 4105601677 4745007380 4830119620 8066512546 8211203354 9490014760 9660239240 16133025092 16422406708 18980029520 19320478480 20166281365 20528008385 32266050184 32844813416 40332562730 41056016770 53855833763 64532100368 65689626832 80665125460 82112033540 107711667526 161330250920 164224067080 215423335052 269279168815 322660501840 328448134160 430846670104 538558337630 861693340208 915549173971 1077116675260 1831098347942 2154233350520 3662196695884 4308466701040 4577745869855 7324393391768 9155491739710 14648786783536 18310983479420 36621966958840 73243933917680