Search a number
-
+
58583063812 = 227132193121019
BaseRepresentation
bin110110100011110100…
…101001110100000100
312121012202100222201011
4312203310221310010
51424434231020222
642525050212004
74142512553260
oct664364516404
9177182328634
1058583063812
1122932680a19
12b42b424004
1356a802ba00
142b9a6130a0
1517cd164c77
hexda3d29d04

58583063812 has 144 divisors (see below), whose sum is σ = 137864294400. Its totient is φ = 21246675840.

The previous prime is 58583063729. The next prime is 58583063867. The reversal of 58583063812 is 21836038585.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2776639 + ... + 2797657.

Almost surely, 258583063812 is an apocalyptic number.

58583063812 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58583063812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68932147200).

58583063812 is an abundant number, since it is smaller than the sum of its proper divisors (79281230588).

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

58583063812 is a wasteful number, since it uses less digits than its factorization.

58583063812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21106 (or 21091 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 58583063812 in words is "fifty-eight billion, five hundred eighty-three million, sixty-three thousand, eight hundred twelve".

Divisors: 1 2 4 7 13 14 19 26 28 31 38 52 62 76 91 124 133 169 182 217 247 266 338 364 403 434 494 532 589 676 806 868 988 1178 1183 1612 1729 2356 2366 2821 3211 3458 4123 4732 5239 5642 6422 6916 7657 8246 10478 11284 12844 15314 16492 20956 21019 22477 30628 36673 42038 44954 53599 73346 84076 89908 99541 107198 146692 147133 199082 214396 273247 294266 398164 399361 546494 588532 651589 696787 798722 1092988 1303178 1393574 1597444 1912729 2606356 2787148 2795527 3552211 3825458 4561123 5191693 5591054 7104422 7650916 8470657 9122246 10383386 11182108 12380191 14208844 16941314 18244492 20766772 24760382 24865477 33882628 36341851 49520764 49730954 59294599 67492009 72683702 86661337 99461908 110118541 118589198 134984018 145367404 160942483 173322674 220237082 237178396 269968036 321884966 346645348 440474164 472444063 643769932 770829787 944888126 1126597381 1541659574 1889776252 2092252279 2253194762 3083319148 4184504558 4506389524 8369009116 14645765953 29291531906 58583063812