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6011069728 = 253740912413
BaseRepresentation
bin1011001100100100…
…11010010100100000
3120111220212222111011
411212102122110200
544302313212403
62432250030304
7301650151426
oct54622322440
916456788434
106011069728
112605101724
1211b9118394
1374a4734c1
14410491116
15252ac2a6d
hex16649a520

6011069728 has 48 divisors (see below), whose sum is σ = 12184837560. Its totient is φ = 2916919296.

The previous prime is 6011069723. The next prime is 6011069731. The reversal of 6011069728 is 8279601106.

It can be written as a sum of positive squares in 4 ways, for example, as 6007490064 + 3579664 = 77508^2 + 1892^2 .

It is a super-2 number, since 2×60110697282 = 72265918549755987968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6011069723) by changing a digit.

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, 478050 + ... + 490462.

Almost surely, 26011069728 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 6011069728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092418780).

6011069728 is an abundant number, since it is smaller than the sum of its proper divisors (6173767832).

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

6011069728 is a wasteful number, since it uses less digits than its factorization.

6011069728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12869 (or 12861 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 6011069728 is about 77531.0887837905. The cubic root of 6011069728 is about 1818.2374079949.

The spelling of 6011069728 in words is "six billion, eleven million, sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 409 592 818 1184 1636 3272 6544 12413 13088 15133 24826 30266 49652 60532 99304 121064 198608 242128 397216 459281 484256 918562 1837124 3674248 5076917 7348496 10153834 14696992 20307668 40615336 81230672 162461344 187845929 375691858 751383716 1502767432 3005534864 6011069728