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483293044332 = 2232743166926723
BaseRepresentation
bin1110000100001101000…
…00101001111001101100
31201012110112010102120200
413002012200221321230
530404241004404312
61010004411113500
746626311044650
oct7020640517154
91635415112520
10483293044332
11176a6636241a
12797b9a42890
1336760a8b4a7
141956a426a60
15c8890440dc
hex7086829e6c

483293044332 has 144 divisors (see below), whose sum is σ = 1429558690560. Its totient is φ = 134786623104.

The previous prime is 483293044301. The next prime is 483293044349. The reversal of 483293044332 is 233440392384.

483293044332 is a `hidden beast` number, since 4 + 8 + 3 + 2 + 9 + 304 + 4 + 332 = 666.

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, 18071923 + ... + 18098645.

Almost surely, 2483293044332 is an apocalyptic number.

483293044332 is a gapful number since it is divisible by the number (42) 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 483293044332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714779345280).

483293044332 is an abundant number, since it is smaller than the sum of its proper divisors (946265646228).

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

483293044332 is a wasteful number, since it uses less digits than its factorization.

483293044332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28452 (or 28447 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 483293044332 in words is "four hundred eighty-three billion, two hundred ninety-three million, forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1669 1806 2709 3338 3612 5007 5418 6676 10014 10836 11683 15021 20028 23366 26723 30042 35049 46732 53446 60084 70098 71767 80169 105147 106892 140196 143534 160338 187061 210294 215301 240507 287068 320676 374122 420588 430602 481014 502369 561183 645903 748244 861204 962028 1004738 1122366 1149089 1291806 1507107 1683549 2009476 2244732 2298178 2583612 3014214 3367098 3447267 4521321 4596356 6028428 6734196 6894534 8043623 9042642 10341801 13789068 16087246 18085284 20683602 24130869 32174492 41367204 44600687 48261738 72392607 89201374 96523476 133802061 144785214 178402748 267604122 289570428 312204809 401406183 535208244 624409618 802812366 936614427 1248819236 1605624732 1873228854 1917829541 2809843281 3746457708 3835659082 5619686562 5753488623 7671318164 11239373124 11506977246 13424806787 17260465869 23013954492 26849613574 34520931738 40274420361 53699227148 69041863476 80548840722 120823261083 161097681444 241646522166 483293044332