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484127274428766 = 233171131746599961
BaseRepresentation
bin110111000010011111010101…
…0001101111110100101011110
32100111011010010011002201111000
41232010332222031332211132
51001423420124223210031
64433352555522211130
7203655020113625463
oct15604765215764536
92314133104081430
10484127274428766
11130292251274521
124636b1387b3aa6
1317a1a0104b2577
148779c56a3966a
153ae83dc44e3e6
hex1b84faa37e95e

484127274428766 has 64 divisors (see below), whose sum is σ = 1139223679018560. Its totient is φ = 151869642439680.

The previous prime is 484127274428717. The next prime is 484127274428779. The reversal of 484127274428766 is 667824472721484.

484127274428766 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 2 + 72 + 74 + 428 + 7 + 66 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 484127274428694 and 484127274428703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12910975 + ... + 33688986.

It is an arithmetic number, because the mean of its divisors is an integer number (17800369984665).

Almost surely, 2484127274428766 is an apocalyptic number.

484127274428766 is an abundant number, since it is smaller than the sum of its proper divisors (655096404589794).

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

484127274428766 is a wasteful number, since it uses less digits than its factorization.

484127274428766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46611306 (or 46611300 counting only the distinct ones).

The product of its digits is 1618477056, while the sum is 72.

The spelling of 484127274428766 in words is "four hundred eighty-four trillion, one hundred twenty-seven billion, two hundred seventy-four million, four hundred twenty-eight thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 11317 22634 33951 67902 101853 192389 203706 305559 384778 577167 611118 1154334 1731501 3463002 5194503 10389006 46599961 93199922 139799883 279599766 419399649 792199337 838799298 1258198947 1584398674 2376598011 2516397894 4753196022 7129794033 14259588066 21389382099 42778764198 527371758637 1054743517274 1582115275911 3164230551822 4746345827733 8965319896829 9492691655466 14239037483199 17930639793658 26895959690487 28478074966398 53791919380974 80687879071461 161375758142922 242063637214383 484127274428766