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5200299936 = 2532131388969
BaseRepresentation
bin1001101011111011…
…00100011110100000
3111102102021121102100
410311331210132200
541122234044221
62220004250400
7242603551206
oct46575443640
914372247370
105200299936
112229485347
1210116a0a00
1364b4bc570
14374921076
1520681e926
hex135f647a0

5200299936 has 72 divisors (see below), whose sum is σ = 15925930020. Its totient is φ = 1600091136.

The previous prime is 5200299893. The next prime is 5200299953. The reversal of 5200299936 is 6399920025.

5200299936 is a `hidden beast` number, since 520 + 0 + 2 + 9 + 99 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4752723600 + 447576336 = 68940^2 + 21156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5200299891 and 5200299900.

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 11 ways as a sum of consecutive naturals, for example, 690741 + ... + 698228.

Almost surely, 25200299936 is an apocalyptic number.

It is an amenable number.

5200299936 is an abundant number, since it is smaller than the sum of its proper divisors (10725630084).

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

5200299936 is a wasteful number, since it uses less digits than its factorization.

5200299936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388998 (or 1388987 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 5200299936 is about 72113.1051612673. The cubic root of 5200299936 is about 1732.5115198225.

The spelling of 5200299936 in words is "five billion, two hundred million, two hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 1388969 2777938 4166907 5555876 8333814 11111752 12500721 16667628 18056597 22223504 25001442 33335256 36113194 44447008 50002884 54169791 66670512 72226388 100005768 108339582 133341024 144452776 162509373 200011536 216679164 288905552 325018746 400023072 433358328 577811104 650037492 866716656 1300074984 1733433312 2600149968 5200299936