Search a number
-
+
5162850000 = 243255711149
BaseRepresentation
bin1001100111011101…
…01101011011010000
3111022210210221202200
410303232231123100
541033142200000
62212145443200
7241640333550
oct46356553320
914283727680
105162850000
11220a326690
121001040500
13643809639
1436d973160
152033c3500
hex133bad6d0

5162850000 has 720 divisors, whose sum is σ = 22667299200. Its totient is φ = 1065600000.

The previous prime is 5162849963. The next prime is 5162850001. The reversal of 5162850000 is 582615.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5162850001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34649926 + ... + 34650074.

It is an arithmetic number, because the mean of its divisors is an integer number (31482360).

Almost surely, 25162850000 is an apocalyptic number.

5162850000 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 5162850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333649600).

5162850000 is an abundant number, since it is smaller than the sum of its proper divisors (17504449200).

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

5162850000 is a wasteful number, since it uses less digits than its factorization.

5162850000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5162850000 is about 71852.9748862217. The cubic root of 5162850000 is about 1728.3426050364.

The spelling of 5162850000 in words is "five billion, one hundred sixty-two million, eight hundred fifty thousand".