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6073661472 = 253540711701
BaseRepresentation
bin1011010100000010…
…01011100000100000
3120200021122222012220
411222001023200200
544414324131342
62442403351040
7303340161564
oct55201134040
916607588186
106073661472
11263747283a
121216082480
1375a41a038
144189056a4
152583385ec
hex16a04b820

6073661472 has 48 divisors (see below), whose sum is σ = 15947672832. Its totient is φ = 2024006400.

The previous prime is 6073661449. The next prime is 6073661479. The reversal of 6073661472 is 2741663706.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (6073661479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513222 + ... + 524922.

It is an arithmetic number, because the mean of its divisors is an integer number (332243184).

Almost surely, 26073661472 is an apocalyptic number.

It is an amenable number.

6073661472 is an abundant number, since it is smaller than the sum of its proper divisors (9874011360).

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

6073661472 is a wasteful number, since it uses less digits than its factorization.

6073661472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17121 (or 17113 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 6073661472 is about 77933.6992064409. The cubic root of 6073661472 is about 1824.5265773441.

The spelling of 6073661472 in words is "six billion, seventy-three million, six hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5407 10814 11701 16221 21628 23402 32442 35103 43256 46804 64884 70206 86512 93608 129768 140412 173024 187216 259536 280824 374432 519072 561648 1123296 63267307 126534614 189801921 253069228 379603842 506138456 759207684 1012276912 1518415368 2024553824 3036830736 6073661472