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5200205361 = 3131719221727
BaseRepresentation
bin1001101011111010…
…01101011000110001
3111102102002210200120
410311331031120301
541122223032421
62220002240453
7242603005401
oct46575153061
914372083616
105200205361
11222942028a
121011656129
1364b4884c0
143748d8801
152068018c6
hex135f4d631

5200205361 has 48 divisors (see below), whose sum is σ = 8344594944. Its totient is φ = 2853232128.

The previous prime is 5200205347. The next prime is 5200205363. The reversal of 5200205361 is 1635020025.

It is not a de Polignac number, because 5200205361 - 213 = 5200197169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5200205363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228480 + ... + 250206.

It is an arithmetic number, because the mean of its divisors is an integer number (173845728).

Almost surely, 25200205361 is an apocalyptic number.

5200205361 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5200205361 is a deficient number, since it is larger than the sum of its proper divisors (3144389583).

5200205361 is a wasteful number, since it uses less digits than its factorization.

5200205361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21798 (or 21779 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5200205361 is about 72112.4494175590. The cubic root of 5200205361 is about 1732.5010170135.

Adding to 5200205361 its reverse (1635020025), we get a palindrome (6835225386).

The spelling of 5200205361 in words is "five billion, two hundred million, two hundred five thousand, three hundred sixty-one".

Divisors: 1 3 13 17 19 39 51 57 221 247 323 361 663 741 969 1083 4199 4693 6137 12597 14079 18411 21727 65181 79781 239343 282451 369359 412813 847353 1108077 1238439 4801667 5366569 7017821 7843447 14405001 16099707 21053463 23530341 91231673 101964811 133338599 273695019 305894433 400015797 1733401787 5200205361