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6540212550 = 2352109607659
BaseRepresentation
bin1100001011101001…
…11011100101000110
3121212210120012222110
412011310323211012
5101343243300200
63000551241450
7321033614034
oct60564734506
917783505873
106540212550
112856863543
121326379286
13802c90371
14460871554
15284295b50
hex185d3b946

6540212550 has 96 divisors (see below), whose sum is σ = 16420377600. Its totient is φ = 1722591360.

The previous prime is 6540212513. The next prime is 6540212563. The reversal of 6540212550 is 552120456.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 9924121 + ... + 9924779.

It is an arithmetic number, because the mean of its divisors is an integer number (171045600).

Almost surely, 26540212550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540212550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210188800).

6540212550 is an abundant number, since it is smaller than the sum of its proper divisors (9880165050).

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

6540212550 is a wasteful number, since it uses less digits than its factorization.

6540212550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 6540212550 is about 80871.5806077759. The cubic root of 6540212550 is about 1870.0962279020.

The spelling of 6540212550 in words is "six billion, five hundred forty million, two hundred twelve thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 109 150 218 327 545 607 654 659 1090 1214 1318 1635 1821 1977 2725 3035 3270 3295 3642 3954 5450 6070 6590 8175 9105 9885 15175 16350 16475 18210 19770 30350 32950 45525 49425 66163 71831 91050 98850 132326 143662 198489 215493 330815 359155 396978 400013 430986 661630 718310 800026 992445 1077465 1200039 1654075 1795775 1984890 2000065 2154930 2400078 3308150 3591550 4000130 4962225 5387325 6000195 9924450 10000325 10774650 12000390 20000650 30000975 43601417 60001950 87202834 130804251 218007085 261608502 436014170 654021255 1090035425 1308042510 2180070850 3270106275 6540212550