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51806312100 = 2238522812
BaseRepresentation
bin110000001111111001…
…011001011010100100
311221201110201100000000
4300033321121122210
51322044403441400
635444405021300
73512544246534
oct601771313244
9157643640000
1051806312100
111aa75349074
12a0599b4830
134b6805cb5a
1427165ab4c4
151533248600
hexc0fe596a4

51806312100 has 243 divisors, whose sum is σ = 169223188771. Its totient is φ = 13765852800.

The previous prime is 51806312081. The next prime is 51806312143. The reversal of 51806312100 is 121360815.

The square root of 51806312100 is 227610.

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

51806312100 is a `hidden beast` number, since 5 + 1 + 8 + 0 + 631 + 21 + 0 + 0 = 666.

51806312100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73719396 + 51732592704 = 8586^2 + 227448^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 184363960 + ... + 184364240.

Almost surely, 251806312100 is an apocalyptic number.

51806312100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51806312100 is the 227610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51806312100

51806312100 is an abundant number, since it is smaller than the sum of its proper divisors (117416876671).

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

51806312100 is an frugal number, since it uses more digits than its factorization.

51806312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 51806312100 its reverse (121360815), we get a palindrome (51927672915).

The spelling of 51806312100 in words is "fifty-one billion, eight hundred six million, three hundred twelve thousand, one hundred".