Search a number
-
+
51686203716 = 22327254132
BaseRepresentation
bin110000001000101111…
…001110000101000100
311221102002201012021100
4300020233032011010
51321323132004331
635424434420100
73506555324400
oct601057160504
9157362635240
1051686203716
111aa13572944
12a025731630
134b491c87c4
142704664100
151527920ae6
hexc08bce144

51686203716 has 81 divisors (see below), whose sum is σ = 152010133821. Its totient is φ = 14764758624.

The previous prime is 51686203711. The next prime is 51686203769. The reversal of 51686203716 is 61730268615.

The square root of 51686203716 is 227346.

It is a perfect power (a square), and thus also a powerful number.

51686203716 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 620 + 3 + 7 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11246602500 + 40439601216 = 106050^2 + 201096^2 .

It is not an unprimeable number, because it can be changed into a prime (51686203711) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9545826 + ... + 9551238.

Almost surely, 251686203716 is an apocalyptic number.

51686203716 is the 227346-th square number.

It is an amenable number.

51686203716 is an abundant number, since it is smaller than the sum of its proper divisors (100323930105).

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

51686203716 is an equidigital number, since it uses as much as digits as its factorization.

51686203716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10850 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 51686203716 in words is "fifty-one billion, six hundred eighty-six million, two hundred three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5413 10826 16239 21652 32478 37891 48717 64956 75782 97434 113673 151564 194868 227346 265237 341019 454692 530474 682038 795711 1060948 1364076 1591422 2387133 3182844 4774266 9548532 29300569 58601138 87901707 117202276 175803414 205103983 263705121 351606828 410207966 527410242 615311949 820415932 1054820484 1230623898 1435727881 1845935847 2461247796 2871455762 3691871694 4307183643 5742911524 7383743388 8614367286 12921550929 17228734572 25843101858 51686203716