Search a number
-
+
5996278080 = 2632513179421
BaseRepresentation
bin1011001010110011…
…11111000101000000
3120110220001111011100
411211121333011000
544240021344310
62431001014400
7301410344202
oct54531770500
916426044140
105996278080
1125a7819521
1211b4184400
13747394950
1440c520772
1525164eec0
hex16567f140

5996278080 has 336 divisors, whose sum is σ = 23520251664. Its totient is φ = 1389035520.

The previous prime is 5996278069. The next prime is 5996278081. The reversal of 5996278080 is 808726995.

It is a happy number.

5996278080 is a `hidden beast` number, since 5 + 9 + 9 + 627 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 255488256 + 5740789824 = 15984^2 + 75768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5996278081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631770 + ... + 641190.

It is an arithmetic number, because the mean of its divisors is an integer number (70000749).

Almost surely, 25996278080 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 5996278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760125832).

5996278080 is an abundant number, since it is smaller than the sum of its proper divisors (17523973584).

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

5996278080 is a wasteful number, since it uses less digits than its factorization.

5996278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 5996278080 is about 77435.6383069191. The cubic root of 5996278080 is about 1816.7447830319.

The spelling of 5996278080 in words is "five billion, nine hundred ninety-six million, two hundred seventy-eight thousand, eighty".