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9300083168 = 251973314457
BaseRepresentation
bin10001010100101010…
…00000000111100000
3220000010202011201202
420222111000013200
5123021310130133
64134501020332
7446315255045
oct105225000740
926003664652
109300083168
113a42722152
1219766b46a8
13b529a9bbc
1464320b1cc
153967052e8
hex22a5401e0

9300083168 has 48 divisors (see below), whose sum is σ = 18462218544. Its totient is φ = 4611425280.

The previous prime is 9300083141. The next prime is 9300083183. The reversal of 9300083168 is 8613800039.

It is a congruent number.

It is an unprimeable number.

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, 2084396 + ... + 2088852.

It is an arithmetic number, because the mean of its divisors is an integer number (384629553).

Almost surely, 29300083168 is an apocalyptic number.

It is an amenable number.

9300083168 is a deficient number, since it is larger than the sum of its proper divisors (9162135376).

9300083168 is a wasteful number, since it uses less digits than its factorization.

9300083168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 9300083168 is about 96436.9388149582. The cubic root of 9300083168 is about 2102.9499861747.

The spelling of 9300083168 in words is "nine billion, three hundred million, eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 197 331 394 662 788 1324 1576 2648 3152 4457 5296 6304 8914 10592 17828 35656 65207 71312 130414 142624 260828 521656 878029 1043312 1475267 1756058 2086624 2950534 3512116 5901068 7024232 11802136 14048464 23604272 28096928 47208544 290627599 581255198 1162510396 2325020792 4650041584 9300083168