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6073145712 = 24321914331549
BaseRepresentation
bin1011010011111110…
…01101100101110000
3120200020200202201200
411221333031211300
544414211130322
62442344331200
7303332613114
oct55177154560
916606622650
106073145712
112637150297
121215a73b00
1375a29935a
1441880d744
152582858ac
hex169fcd970

6073145712 has 120 divisors (see below), whose sum is σ = 17914962000. Its totient is φ = 1915259904.

The previous prime is 6073145711. The next prime is 6073145759. The reversal of 6073145712 is 2175413706.

It is a happy number.

6073145712 is a `hidden beast` number, since 6 + 0 + 73 + 14 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6073145711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3919914 + ... + 3921462.

It is an arithmetic number, because the mean of its divisors is an integer number (149291350).

Almost surely, 26073145712 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 6073145712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957481000).

6073145712 is an abundant number, since it is smaller than the sum of its proper divisors (11841816288).

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

6073145712 is a wasteful number, since it uses less digits than its factorization.

6073145712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 6073145712 is about 77930.3901696893. The cubic root of 6073145712 is about 1824.4749311518.

The spelling of 6073145712 in words is "six billion, seventy-three million, one hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1433 1549 2736 2866 3098 4299 4647 5732 6196 8598 9294 11464 12392 12897 13941 17196 18588 22928 24784 25794 27227 27882 29431 34392 37176 51588 54454 55764 58862 68784 74352 81681 88293 103176 108908 111528 117724 163362 176586 206352 217816 223056 235448 245043 264879 326724 353172 435632 470896 490086 529758 653448 706344 980172 1059516 1306896 1412688 1960344 2119032 2219717 3920688 4238064 4439434 6659151 8878868 13318302 17757736 19977453 26636604 35515472 39954906 42174623 53273208 79909812 84349246 106546416 126523869 159819624 168698492 253047738 319639248 337396984 379571607 506095476 674793968 759143214 1012190952 1518286428 2024381904 3036572856 6073145712