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6540555264 = 21032392569
BaseRepresentation
bin1100001011101100…
…01111010000000000
3121212211012122002120
412011312033100000
5101343340232024
63001002444240
7321036542145
oct60566172000
917784178076
106540555264
112856a77a81
121326503680
13803080359
144609203cc
15284312479
hex185d8f400

6540555264 has 88 divisors (see below), whose sum is σ = 18191115840. Its totient is φ = 2085371904.

The previous prime is 6540555257. The next prime is 6540555277. The reversal of 6540555264 is 4625550456.

It is a happy number.

It is a super-2 number, since 2×65405552642 = 85557726322876219392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24372 + ... + 116940.

Almost surely, 26540555264 is an apocalyptic number.

6540555264 is a gapful number since it is divisible by the number (64) 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 6540555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9095557920).

6540555264 is an abundant number, since it is smaller than the sum of its proper divisors (11650560576).

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

6540555264 is a wasteful number, since it uses less digits than its factorization.

6540555264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92615 (or 92597 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The square root of 6540555264 is about 80873.6994578584. The cubic root of 6540555264 is about 1870.1288923330.

The spelling of 6540555264 in words is "six billion, five hundred forty million, five hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2208 2944 3072 4416 5888 8832 11776 17664 23552 35328 70656 92569 185138 277707 370276 555414 740552 1110828 1481104 2129087 2221656 2962208 4258174 4443312 5924416 6387261 8516348 8886624 11848832 12774522 17032696 17773248 23697664 25549044 34065392 35546496 47395328 51098088 68130784 71092992 94790656 102196176 136261568 142185984 204392352 272523136 284371968 408784704 545046272 817569408 1090092544 1635138816 2180185088 3270277632 6540555264