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5284814976 = 27337218453
BaseRepresentation
bin1001110101111111…
…11110000010000000
3111122022022102021000
410322333332002000
541310403034401
62232223532000
7244651120560
oct47277760200
914568272230
105284814976
11227215a791
121035a5a000
13662b70a6c
14381c40da0
1520de66186
hex13affe080

5284814976 has 128 divisors (see below), whose sum is σ = 17825846400. Its totient is φ = 1509940224.

The previous prime is 5284814963. The next prime is 5284814987. The reversal of 5284814976 is 6794184825.

It is a happy number.

5284814976 is a `hidden beast` number, since 52 + 8 + 481 + 49 + 76 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 85035 + ... + 133418.

It is an arithmetic number, because the mean of its divisors is an integer number (139264425).

Almost surely, 25284814976 is an apocalyptic number.

5284814976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5284814976 is an abundant number, since it is smaller than the sum of its proper divisors (12541031424).

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

5284814976 is a wasteful number, since it uses less digits than its factorization.

5284814976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218483 (or 218465 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 5284814976 is about 72696.7329114590. The cubic root of 5284814976 is about 1741.8466957341.

The spelling of 5284814976 in words is "five billion, two hundred eighty-four million, eight hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 218453 436906 655359 873812 1310718 1529171 1747624 1966077 2621436 3058342 3495248 3932154 4587513 5242872 5898231 6116684 6990496 7864308 9175026 10485744 11796462 12233368 13762539 13980992 15728616 18350052 20971488 23592924 24466736 27525078 27961984 31457232 36700104 41287617 41942976 47185848 48933472 55050156 62914464 73400208 82575234 83885952 94371696 97866944 110100312 125828928 146800416 165150468 188743392 195733888 220200624 251657856 293600832 330300936 377486784 440401248 587201664 660601872 754973568 880802496 1321203744 1761604992 2642407488 5284814976