Search a number
-
+
5205596068800 = 263352120499909
BaseRepresentation
bin100101111000000010110…
…1101000101101111000000
3200102122112221101120011000
41023300011231011233000
51140242030043200200
615023230125452000
71045043344340421
oct113600555055700
920378487346130
105205596068800
1117277542a9006
12700a67711000
132b9b6889244a
1413dd48b6b648
15906220e0300
hex4bc05b45bc0

5205596068800 has 168 divisors, whose sum is σ = 18976325826800. Its totient is φ = 1388158940160.

The previous prime is 5205596068747. The next prime is 5205596068831. The reversal of 5205596068800 is 88606955025.

5205596068800 is a `hidden beast` number, since 5 + 2 + 0 + 559 + 6 + 0 + 6 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60206755 + ... + 60293154.

Almost surely, 25205596068800 is an apocalyptic number.

5205596068800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5205596068800 is an abundant number, since it is smaller than the sum of its proper divisors (13770729758000).

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

5205596068800 is a wasteful number, since it uses less digits than its factorization.

5205596068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120499940 (or 120499919 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 5205596068800 in words is "five trillion, two hundred five billion, five hundred ninety-six million, sixty-eight thousand, eight hundred".