Search a number
-
+
5160960000 = 21732547
BaseRepresentation
bin1001100111001111…
…00000000000000000
3111022200020221011200
410303213200000000
541032201210000
62212041141200
7241615302420
oct46347400000
914280227150
105160960000
1122092556a9
12100048a800
136432c72b1
1436d600480
1520314d500
hex1339e0000

5160960000 has 540 divisors, whose sum is σ = 21292303032. Its totient is φ = 1179648000.

The previous prime is 5160959963. The next prime is 5160960037. The reversal of 5160960000 is 690615.

5160960000 is a `hidden beast` number, since 51 + 6 + 0 + 9 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5160959963) and next prime (5160960037).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 737279997 + ... + 737280003.

Almost surely, 25160960000 is an apocalyptic number.

5160960000 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 5160960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10646151516).

5160960000 is an abundant number, since it is smaller than the sum of its proper divisors (16131343032).

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

5160960000 is an frugal number, since it uses more digits than its factorization.

5160960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5160960000 is about 71839.8218260597. The cubic root of 5160960000 is about 1728.1316772085.

The spelling of 5160960000 in words is "five billion, one hundred sixty million, nine hundred sixty thousand".