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58120601073348 = 223112294394379819
BaseRepresentation
bin11010011011100010000011…
…10001111111011011000100
321121210021102121201222010110
431031301001301333123010
530104221442333321343
6323340122512553020
715146034450562242
oct1515610161773304
9247707377658113
1058120601073348
1117578899117780
1266281b3852770
132657997bb47a8
14104d0a2d75792
156abcb470b833
hex34dc41c7f6c4

58120601073348 has 96 divisors (see below), whose sum is σ = 148927895424000. Its totient is φ = 17495445790080.

The previous prime is 58120601073331. The next prime is 58120601073389. The reversal of 58120601073348 is 84337010602185.

It is a junction number, because it is equal to n+sod(n) for n = 58120601073297 and 58120601073306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11080183 + ... + 15460001.

It is an arithmetic number, because the mean of its divisors is an integer number (1551332244000).

Almost surely, 258120601073348 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 58120601073348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74463947712000).

58120601073348 is an abundant number, since it is smaller than the sum of its proper divisors (90807294350652).

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

58120601073348 is a wasteful number, since it uses less digits than its factorization.

58120601073348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380505 (or 4380503 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 58120601073348 in words is "fifty-eight trillion, one hundred twenty billion, six hundred one million, seventy-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 229 439 458 687 878 916 1317 1374 1756 2519 2634 2748 4829 5038 5268 7557 9658 10076 14487 15114 19316 28974 30228 57948 100531 201062 301593 402124 603186 1105841 1206372 2211682 3317523 4379819 4423364 6635046 8759638 13139457 13270092 17519276 26278914 48178009 52557828 96356018 144534027 192712036 289068054 578136108 1002978551 1922740541 2005957102 3008935653 3845481082 4011914204 5768221623 6017871306 7690962164 11032764061 11536443246 12035742612 21150145951 22065528122 23072886492 33098292183 42300291902 44131056244 63450437853 66196584366 84600583804 126900875706 132393168732 253801751412 440307583889 880615167778 1320922751667 1761230335556 2641845503334 4843383422779 5283691006668 9686766845558 14530150268337 19373533691116 29060300536674 58120601073348