Search a number
-
+
5201280000 = 2103354743
BaseRepresentation
bin1001101100000010…
…10011110000000000
3111102111010101211000
410312001103300000
541123011430000
62220041252000
7242615102430
oct46601236000
914374111730
105201280000
112229a94714
121011a94000
1364b773697
14374ad82c0
15206965000
hex136053c00

5201280000 has 880 divisors, whose sum is σ = 22509794560. Its totient is φ = 1161216000.

The previous prime is 5201279987. The next prime is 5201280031. The reversal of 5201280000 is 821025.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120959979 + ... + 120960021.

It is an arithmetic number, because the mean of its divisors is an integer number (25579312).

Almost surely, 25201280000 is an apocalyptic number.

5201280000 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 5201280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11254897280).

5201280000 is an abundant number, since it is smaller than the sum of its proper divisors (17308514560).

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

5201280000 is an equidigital number, since it uses as much as digits as its factorization.

5201280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5201280000 is about 72119.9001663203. The cubic root of 5201280000 is about 1732.6203510780.

The spelling of 5201280000 in words is "five billion, two hundred one million, two hundred eighty thousand".