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5264878752 = 2532721112377
BaseRepresentation
bin1001110011100111…
…11010110010100000
3111120220210112220100
410321303322302200
541240302110002
62230232342400
7244316505510
oct47163726240
914526715810
105264878752
112261983371
12102b244a00
1365b9b0693
1437d331840
1520c32911c
hex139cfaca0

5264878752 has 144 divisors (see below), whose sum is σ = 17193339072. Its totient is φ = 1497000960.

The previous prime is 5264878727. The next prime is 5264878783. The reversal of 5264878752 is 2578784625.

5264878752 is a `hidden beast` number, since 526 + 48 + 7 + 8 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×52648787522 = 55437896546522155008, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 419188 + ... + 431564.

It is an arithmetic number, because the mean of its divisors is an integer number (119398188).

Almost surely, 25264878752 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 5264878752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596669536).

5264878752 is an abundant number, since it is smaller than the sum of its proper divisors (11928460320).

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

5264878752 is a wasteful number, since it uses less digits than its factorization.

5264878752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12611 (or 12600 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 5264878752 is about 72559.4842319045. The cubic root of 5264878752 is about 1739.6536448937.

The spelling of 5264878752 in words is "five billion, two hundred sixty-four million, eight hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 211 224 252 288 336 422 504 633 672 844 1008 1266 1477 1688 1899 2016 2532 2954 3376 3798 4431 5064 5908 6752 7596 8862 10128 11816 12377 13293 15192 17724 20256 23632 24754 26586 30384 35448 37131 47264 49508 53172 60768 70896 74262 86639 99016 106344 111393 141792 148524 173278 198032 212688 222786 259917 297048 346556 396064 425376 445572 519834 594096 693112 779751 891144 1039668 1188192 1386224 1559502 1782288 2079336 2611547 2772448 3119004 3564576 4158672 5223094 6238008 7834641 8317344 10446188 12476016 15669282 18280829 20892376 23503923 24952032 31338564 36561658 41784752 47007846 54842487 62677128 73123316 83569504 94015692 109684974 125354256 146246632 164527461 188031384 219369948 250708512 292493264 329054922 376062768 438739896 584986528 658109844 752125536 877479792 1316219688 1754959584 2632439376 5264878752