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6066974016 = 263241256901
BaseRepresentation
bin1011010011001111…
…01010110101000000
3120122211002012202100
411221213222311000
544411121132031
62442004150400
7303226266615
oct55147526500
916584065670
106066974016
112633715414
121213998400
13758c1816c
14417a8450c
15257966de6
hex1699ead40

6066974016 has 84 divisors (see below), whose sum is σ = 17814098484. Its totient is φ = 1972992000.

The previous prime is 6066974003. The next prime is 6066974047. The reversal of 6066974016 is 6104796606.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 337089600 + 5729884416 = 18360^2 + 75696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104835 + ... + 152066.

It is an arithmetic number, because the mean of its divisors is an integer number (212072601).

Almost surely, 26066974016 is an apocalyptic number.

It is an amenable number.

6066974016 is an abundant number, since it is smaller than the sum of its proper divisors (11747124468).

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

6066974016 is a wasteful number, since it uses less digits than its factorization.

6066974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256960 (or 256947 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6066974016 is about 77890.7826125787. The cubic root of 6066974016 is about 1823.8566946508.

The spelling of 6066974016 in words is "six billion, sixty-six million, nine hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 11808 23616 256901 513802 770703 1027604 1541406 2055208 2312109 3082812 4110416 4624218 6165624 8220832 9248436 10532941 12331248 16441664 18496872 21065882 24662496 31598823 36993744 42131764 49324992 63197646 73987488 84263528 94796469 126395292 147974976 168527056 189592938 252790584 337054112 379185876 505581168 674108224 758371752 1011162336 1516743504 2022324672 3033487008 6066974016