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5024136096 = 2532713917929
BaseRepresentation
bin1001010110111011…
…00011101110100000
3110222010210120001200
410223131203232200
540242134323341
62150312401200
7235334311050
oct45335435640
913863716050
105024136096
112148aa28a1
12b826a6200
13620b5c7c5
14359385560
151e6122db6
hex12b763ba0

5024136096 has 144 divisors (see below), whose sum is σ = 16446830400. Its totient is φ = 1425060864.

The previous prime is 5024136083. The next prime is 5024136097. The reversal of 5024136096 is 6906314205.

It is a happy number.

5024136096 is a `hidden beast` number, since 5 + 0 + 2 + 41 + 3 + 609 + 6 = 666.

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

It is a super-2 number, since 2×50241360962 = 50483887022260242432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5024136096.

It is not an unprimeable number, because it can be changed into a prime (5024136097) by changing a digit.

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, 271260 + ... + 289188.

It is an arithmetic number, because the mean of its divisors is an integer number (114214100).

Almost surely, 25024136096 is an apocalyptic number.

5024136096 is a gapful number since it is divisible by the number (56) 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 5024136096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223415200).

5024136096 is an abundant number, since it is smaller than the sum of its proper divisors (11422694304).

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

5024136096 is a wasteful number, since it uses less digits than its factorization.

5024136096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18091 (or 18080 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5024136096 is about 70881.1406228765. The cubic root of 5024136096 is about 1712.7230074259.

The spelling of 5024136096 in words is "five billion, twenty-four million, one hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 139 144 168 224 252 278 288 336 417 504 556 672 834 973 1008 1112 1251 1668 1946 2016 2224 2502 2919 3336 3892 4448 5004 5838 6672 7784 8757 10008 11676 13344 15568 17514 17929 20016 23352 31136 35028 35858 40032 46704 53787 70056 71716 93408 107574 125503 140112 143432 161361 215148 251006 280224 286864 322722 376509 430296 502012 573728 645444 753018 860592 1004024 1129527 1290888 1506036 1721184 2008048 2259054 2492131 2581776 3012072 4016096 4518108 4984262 5163552 6024144 7476393 9036216 9968524 12048288 14952786 17444917 18072432 19937048 22429179 29905572 34889834 36144864 39874096 44858358 52334751 59811144 69779668 79748192 89716716 104669502 119622288 139559336 157004253 179433432 209339004 239244576 279118672 314008506 358866864 418678008 558237344 628017012 717733728 837356016 1256034024 1674712032 2512068048 5024136096