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58328840080 = 24571734717657
BaseRepresentation
bin110110010100101010…
…110111011110010000
312120120001000002022101
4312110222313132100
51423424140340310
642443525250144
74133304650230
oct662452673620
9176501002271
1058328840080
1122812122965
12b37a263954
13566746a974
142b74957cc0
1517b5b9943a
hexd94ab7790

58328840080 has 160 divisors (see below), whose sum is σ = 164587251456. Its totient is φ = 18766774272.

The previous prime is 58328840071. The next prime is 58328840099. The reversal of 58328840080 is 8004882385.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 58328840080.

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 31 ways as a sum of consecutive naturals, for example, 3294612 + ... + 3312268.

Almost surely, 258328840080 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 58328840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82293625728).

58328840080 is an abundant number, since it is smaller than the sum of its proper divisors (106258411376).

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

58328840080 is a wasteful number, since it uses less digits than its factorization.

58328840080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18041 (or 18035 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 58328840080 in words is "fifty-eight billion, three hundred twenty-eight million, eight hundred forty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 347 476 560 595 680 694 952 1190 1360 1388 1735 1904 2380 2429 2776 3470 4760 4858 5552 5899 6940 9520 9716 11798 12145 13880 17657 19432 23596 24290 27760 29495 35314 38864 41293 47192 48580 58990 70628 82586 88285 94384 97160 117980 123599 141256 165172 176570 194320 206465 235960 247198 282512 300169 330344 353140 412930 471920 494396 600338 617995 660688 706280 825860 988792 1200676 1235990 1412560 1500845 1651720 1977584 2101183 2401352 2471980 3001690 3303440 4202366 4802704 4943960 6003380 6126979 8404732 9887920 10505915 12006760 12253958 16809464 21011830 24013520 24507916 30634895 33618928 42023660 42888853 49015832 61269790 84047320 85777706 98031664 104158643 122539580 168094640 171555412 208317286 214444265 245079160 343110824 416634572 428888530 490158320 520793215 686221648 729110501 833269144 857777060 1041586430 1458221002 1666538288 1715554120 2083172860 2916442004 3431108240 3645552505 4166345720 5832884008 7291105010 8332691440 11665768016 14582210020 29164420040 58328840080