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6533130240 = 2113257131941
BaseRepresentation
bin1100001010110011…
…11010100000000000
3121212022020101212200
412011121322200000
5101334440131430
63000135353200
7320616455640
oct60531724000
917768211780
106533130240
11285286649a
121323b22800
13801680850
1445d94a520
15283847460
hex18567a800

6533130240 has 1152 divisors, whose sum is σ = 30050092800. Its totient is φ = 1274019840.

The previous prime is 6533130217. The next prime is 6533130251. The reversal of 6533130240 is 420313356.

It is a happy number.

6533130240 is a `hidden beast` number, since 65 + 331 + 30 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159344620 + ... + 159344660.

It is an arithmetic number, because the mean of its divisors is an integer number (26085150).

Almost surely, 26533130240 is an apocalyptic number.

6533130240 is a gapful number since it is divisible by the number (60) 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 6533130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025046400).

6533130240 is an abundant number, since it is smaller than the sum of its proper divisors (23516962560).

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

6533130240 is a wasteful number, since it uses less digits than its factorization.

6533130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 6533130240 is about 80827.7813625983. The cubic root of 6533130240 is about 1869.4209499048.

Adding to 6533130240 its reverse (420313356), we get a palindrome (6953443596).

The spelling of 6533130240 in words is "six billion, five hundred thirty-three million, one hundred thirty thousand, two hundred forty".