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6066757104 = 2432319992749
BaseRepresentation
bin1011010011001101…
…10101110111110000
3120122210200012012120
411221212311313300
544411042211404
62441555354240
7303224404332
oct55146656760
916583605176
106066757104
112633587451
1212138b2980
13758b70505
14417a29452
152579229d9
hex1699b5df0

6066757104 has 80 divisors (see below), whose sum is σ = 16368000000. Its totient is φ = 1932657408.

The previous prime is 6066757087. The next prime is 6066757111. The reversal of 6066757104 is 4017576606.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2205522 + ... + 2208270.

It is an arithmetic number, because the mean of its divisors is an integer number (204600000).

Almost surely, 26066757104 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 6066757104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184000000).

6066757104 is an abundant number, since it is smaller than the sum of its proper divisors (10301242896).

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

6066757104 is a wasteful number, since it uses less digits than its factorization.

6066757104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 6066757104 is about 77889.3901889083. The cubic root of 6066757104 is about 1823.8349583279.

The spelling of 6066757104 in words is "six billion, sixty-six million, seven hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1999 2749 3998 5498 5997 7996 8247 10996 11994 15992 16494 21992 23988 31984 32988 43984 45977 47976 63227 65976 91954 95952 126454 131952 137931 183908 189681 252908 275862 367816 379362 505816 551724 735632 758724 1011632 1103448 1517448 2206896 3034896 5495251 10990502 16485753 21981004 32971506 43962008 65943012 87924016 126390773 131886024 252781546 263772048 379172319 505563092 758344638 1011126184 1516689276 2022252368 3033378552 6066757104