Search a number
-
+
5978546496 = 2636139857
BaseRepresentation
bin1011001000101100…
…10110000101000000
3120102122200122000000
411210112112011000
544221001441441
62425125000000
7301103543466
oct54426260500
916378618000
105978546496
11259880851a
1211aa253000
137437c6ba0
1440a026836
1524eceb2b6
hex164596140

5978546496 has 196 divisors, whose sum is σ = 19157583732. Its totient is φ = 1839366144.

The previous prime is 5978546489. The next prime is 5978546501. The reversal of 5978546496 is 6946458795.

5978546496 is a `hidden beast` number, since 5 + 9 + 7 + 85 + 464 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1494904896 + 4483641600 = 38664^2 + 66960^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 601600 + ... + 611456.

Almost surely, 25978546496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5978546496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9578791866).

5978546496 is an abundant number, since it is smaller than the sum of its proper divisors (13179037236).

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

5978546496 is an equidigital number, since it uses as much as digits as its factorization.

5978546496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900 (or 9875 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 5978546496 is about 77321.0611411923. The cubic root of 5978546496 is about 1814.9522506392.

The spelling of 5978546496 in words is "five billion, nine hundred seventy-eight million, five hundred forty-six thousand, four hundred ninety-six".