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6065064500 = 2253112175897
BaseRepresentation
bin1011010011000000…
…11000101000110100
3120122200111012101112
411221200120220310
544410124031000
62441455214152
7303204124535
oct55140305064
916580435345
106065064500
112632630800
121213217358
137586c9c81
1441770868c
152576db235
hex169818a34

6065064500 has 144 divisors (see below), whose sum is σ = 15418834704. Its totient is φ = 2075392000.

The previous prime is 6065064491. The next prime is 6065064527. The reversal of 6065064500 is 54605606.

It can be written as a sum of positive squares in 8 ways, for example, as 260757904 + 5804306596 = 16148^2 + 76186^2 .

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 47 ways as a sum of consecutive naturals, for example, 1025552 + ... + 1031448.

It is an arithmetic number, because the mean of its divisors is an integer number (107075241).

Almost surely, 26065064500 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 6065064500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709417352).

6065064500 is an abundant number, since it is smaller than the sum of its proper divisors (9353770204).

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

6065064500 is a wasteful number, since it uses less digits than its factorization.

6065064500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 6065064500 is about 77878.5239973126. The cubic root of 6065064500 is about 1823.6653280280.

The spelling of 6065064500 in words is "six billion, sixty-five million, sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 121 125 170 187 220 242 250 275 340 374 425 484 500 550 605 748 850 935 1100 1210 1375 1700 1870 2057 2125 2420 2750 3025 3740 4114 4250 4675 5500 5897 6050 8228 8500 9350 10285 11794 12100 15125 18700 20570 23375 23588 29485 30250 41140 46750 51425 58970 60500 64867 93500 100249 102850 117940 129734 147425 200498 205700 257125 259468 294850 324335 400996 501245 514250 589700 648670 713537 737125 1002490 1028500 1102739 1297340 1427074 1474250 1621675 2004980 2205478 2506225 2854148 2948500 3243350 3567685 4410956 5012450 5513695 6486700 7135370 8108375 10024900 11027390 12130129 12531125 14270740 16216750 17838425 22054780 24260258 25062250 27568475 32433500 35676850 48520516 50124500 55136950 60650645 71353700 89192125 110273900 121301290 137842375 178384250 242602580 275684750 303253225 356768500 551369500 606506450 1213012900 1516266125 3032532250 6065064500