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484809469312 = 2778913014673
BaseRepresentation
bin1110000111000001110…
…01010110110110000000
31201100101012112210120211
413003200321112312000
530420342211004222
61010415101243504
750012013332020
oct7034071266600
91640335483524
10484809469312
11177674340a03
1279b61863594
1336942cb188c
14196719a3a80
15c927235277
hex70e0e56d80

484809469312 has 128 divisors (see below), whose sum is σ = 1117306612800. Its totient is φ = 205239091200.

The previous prime is 484809469297. The next prime is 484809469327. The reversal of 484809469312 is 213964908484.

It is an interprime number because it is at equal distance from previous prime (484809469297) and next prime (484809469327).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 103744608 + ... + 103749280.

Almost surely, 2484809469312 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 484809469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558653306400).

484809469312 is an abundant number, since it is smaller than the sum of its proper divisors (632497143488).

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

484809469312 is a wasteful number, since it uses less digits than its factorization.

484809469312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 484809469312 in words is "four hundred eighty-four billion, eight hundred nine million, four hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 356 448 623 712 896 1246 1301 1424 2492 2602 2848 4673 4984 5204 5696 9107 9346 9968 10408 11392 18214 18692 19936 20816 32711 36428 37384 39872 41632 65422 72856 74768 79744 83264 115789 130844 145712 149536 166528 231578 261688 291424 299072 415897 463156 523376 582848 598144 810523 831794 926312 1046752 1165696 1621046 1663588 1852624 2093504 2911279 3242092 3327176 3705248 4187008 5822558 6079573 6484184 6654352 7410496 11645116 12159146 12968368 13308704 14820992 23290232 24318292 25936736 26617408 42557011 46580464 48636584 51873472 53234816 85114022 93160928 97273168 103746944 170228044 186321856 194546336 340456088 372643712 389092672 541081997 680912176 778185344 1082163994 1361824352 2164327988 2723648704 3787573979 4328655976 5447297408 7575147958 8657311952 15150295916 17314623904 30300591832 34629247808 60601183664 69258495616 121202367328 242404734656 484809469312