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58056902500 = 2254612792
BaseRepresentation
bin110110000100011101…
…100000011101100100
312112212002022020002011
4312010131200131210
51422400031340000
642400532524004
74123463346262
oct660435403544
9175762266064
1058056902500
1122692676163
12b303180604
135623016c5c
142b4a7ab432
15179bd802ba
hexd84760764

58056902500 has 135 divisors (see below), whose sum is σ = 130728779181. Its totient is φ = 22552920000.

The previous prime is 58056902479. The next prime is 58056902513. The reversal of 58056902500 is 520965085.

The square root of 58056902500 is 240950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 57449378596 + 607523904 = 239686^2 + 24648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 734897461 + ... + 734897539.

Almost surely, 258056902500 is an apocalyptic number.

58056902500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58056902500 is the 240950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58056902500

58056902500 is an abundant number, since it is smaller than the sum of its proper divisors (72671876681).

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

58056902500 is an frugal number, since it uses more digits than its factorization.

58056902500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 58056902500 in words is "fifty-eight billion, fifty-six million, nine hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 79 100 122 125 158 244 250 305 316 395 500 610 625 790 1220 1250 1525 1580 1975 2500 3050 3721 3950 4819 6100 6241 7442 7625 7900 9638 9875 12482 14884 15250 18605 19276 19750 24095 24964 30500 31205 37210 38125 39500 48190 49375 62410 74420 76250 93025 96380 98750 120475 124820 152500 156025 186050 197500 240950 293959 312050 372100 380701 465125 481900 587918 602375 624100 761402 780125 930250 1175836 1204750 1469795 1522804 1560250 1860500 1903505 2325625 2409500 2939590 3011875 3120500 3807010 3900625 4651250 5879180 6023750 7348975 7614020 7801250 9302500 9517525 12047500 14697950 15602500 19035050 23222761 29395900 36744875 38070100 46445522 47587625 73489750 92891044 95175250 116113805 146979500 183724375 190350500 232227610 237938125 367448750 464455220 475876250 580569025 734897500 951752500 1161138050 2322276100 2902845125 5805690250 11611380500 14514225625 29028451250 58056902500