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6540554064 = 2431114983137
BaseRepresentation
bin1100001011101100…
…01110111101010000
3121212211012120110010
412011312032331100
5101343340212224
63001002434520
7321036535512
oct60566167520
917784176403
106540554064
112856a77090
121326502a40
1380307c945
1446091dbb2
15284311e29
hex185d8ef50

6540554064 has 80 divisors (see below), whose sum is σ = 18556401600. Its totient is φ = 1968660480.

The previous prime is 6540554057. The next prime is 6540554077. The reversal of 6540554064 is 4604550456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37104 + ... + 120240.

It is an arithmetic number, because the mean of its divisors is an integer number (231955020).

Almost surely, 26540554064 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 6540554064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9278200800).

6540554064 is an abundant number, since it is smaller than the sum of its proper divisors (12015847536).

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

6540554064 is a wasteful number, since it uses less digits than its factorization.

6540554064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83308 (or 83302 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 6540554064 is about 80873.6920388825. The cubic root of 6540554064 is about 1870.1287779617.

The spelling of 6540554064 in words is "six billion, five hundred forty million, five hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 264 298 447 528 596 894 1192 1639 1788 2384 3278 3576 4917 6556 7152 9834 13112 19668 26224 39336 78672 83137 166274 249411 332548 498822 665096 914507 997644 1330192 1829014 1995288 2743521 3658028 3990576 5487042 7316056 10974084 12387413 14632112 21948168 24774826 37162239 43896336 49549652 74324478 99099304 136261543 148648956 198198608 272523086 297297912 408784629 545046172 594595824 817569258 1090092344 1635138516 2180184688 3270277032 6540554064