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58392430352 = 24197922710711
BaseRepresentation
bin110110011000011101…
…011100011100010000
312120201110122210202122
4312120131130130100
51424041430232402
642454120233412
74135006316504
oct663035343420
9176643583678
1058392430352
1122845006203
12b39760b868
1356776a3b49
142b7d18c304
1517bb55aca2
hexd9875c710

58392430352 has 80 divisors (see below), whose sum is σ = 121139865600. Its totient is φ = 27186606720.

The previous prime is 58392430351. The next prime is 58392430381. The reversal of 58392430352 is 25303429385.

It is not an unprimeable number, because it can be changed into a prime (58392430351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5446277 + ... + 5456987.

It is an arithmetic number, because the mean of its divisors is an integer number (1514248320).

Almost surely, 258392430352 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 58392430352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60569932800).

58392430352 is an abundant number, since it is smaller than the sum of its proper divisors (62747435248).

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

58392430352 is a wasteful number, since it uses less digits than its factorization.

58392430352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11044 (or 11038 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 58392430352 in words is "fifty-eight billion, three hundred ninety-two million, four hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 227 304 316 454 632 908 1264 1501 1816 3002 3632 4313 6004 8626 10711 12008 17252 17933 21422 24016 34504 35866 42844 69008 71732 85688 143464 171376 203509 286928 340727 407018 681454 814036 846169 1362908 1628072 1692338 2431397 2725816 3256144 3384676 4862794 5451632 6769352 9725588 13538704 16077211 19451176 32154422 38902352 46196543 64308844 92393086 128617688 184786172 192080363 257235376 369572344 384160726 739144688 768321452 1536642904 3073285808 3649526897 7299053794 14598107588 29196215176 58392430352