Search a number
-
+
5203194796800 = 2834527111337271
BaseRepresentation
bin100101110110111011010…
…0100111101101100000000
3200102102100120222022020000
41023231312210331230000
51140222120331444200
615022151550120000
71044630006015420
oct113556644755400
920372316868200
105203194796800
1117267318a78a0
127004b74b0000
132b987524c840
1413db9bc9a480
15905313b7300
hex4bb7693db00

5203194796800 has 4320 divisors, whose sum is σ = 26626846439424. Its totient is φ = 967458816000.

The previous prime is 5203194796697. The next prime is 5203194796801. The reversal of 5203194796800 is 86974913025.

5203194796800 is a `hidden beast` number, since 520 + 3 + 19 + 47 + 9 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is not an unprimeable number, because it can be changed into a prime (5203194796801) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 19199980665 + ... + 19199980935.

It is a 1-persistent number, because it is pandigital, but 2⋅5203194796800 = 10406389593600 is not.

Almost surely, 25203194796800 is an apocalyptic number.

5203194796800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5203194796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313423219712).

5203194796800 is an abundant number, since it is smaller than the sum of its proper divisors (21423651642624).

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

5203194796800 is a wasteful number, since it uses less digits than its factorization.

5203194796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 5203194796800 in words is "five trillion, two hundred three billion, one hundred ninety-four million, seven hundred ninety-six thousand, eight hundred".