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58021314372 = 223271959205391
BaseRepresentation
bin110110000010010101…
…101111111101000100
312112202121100011100100
4312002111233331010
51422311424024442
642353222044100
74122552014640
oct660225577504
9175677304310
1058021314372
112267457928a
12b2b3279630
1356188365a8
142b45b85c20
151798ba084c
hexd8256ff44

58021314372 has 144 divisors (see below), whose sum is σ = 179430451200. Its totient is φ = 15438755520.

The previous prime is 58021314349. The next prime is 58021314383. The reversal of 58021314372 is 27341312085.

58021314372 is a `hidden beast` number, since 5 + 8 + 0 + 213 + 1 + 437 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179797 + ... + 385187.

It is an arithmetic number, because the mean of its divisors is an integer number (1246044800).

Almost surely, 258021314372 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 58021314372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89715225600).

58021314372 is an abundant number, since it is smaller than the sum of its proper divisors (121409136828).

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

58021314372 is a wasteful number, since it uses less digits than its factorization.

58021314372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205486 (or 205481 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 58021314372 in words is "fifty-eight billion, twenty-one million, three hundred fourteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 59 63 76 84 114 118 126 133 171 177 228 236 252 266 342 354 399 413 531 532 684 708 798 826 1062 1121 1197 1239 1596 1652 2124 2242 2394 2478 3363 3717 4484 4788 4956 6726 7434 7847 10089 13452 14868 15694 20178 23541 31388 40356 47082 70623 94164 141246 205391 282492 410782 616173 821564 1232346 1437737 1848519 2464692 2875474 3697038 3902429 4313211 5750948 7394076 7804858 8626422 11707287 12118069 12939633 15609716 17252844 23414574 24236138 25879266 27317003 35121861 36354207 46829148 48472276 51758532 54634006 70243722 72708414 81951009 84826483 109062621 109268012 140487444 145416828 163902018 169652966 218125242 230243311 245853027 254479449 327804036 339305932 436250484 460486622 491706054 508958898 690729933 763438347 920973244 983412108 1017917796 1381459866 1526876694 1611703177 2072189799 2762919732 3053753388 3223406354 4144379598 4835109531 6446812708 8288759196 9670219062 14505328593 19340438124 29010657186 58021314372