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11679384303 = 3319179127189
BaseRepresentation
bin10101110000010010…
…10100001011101111
31010010221211012022000
422320021110023233
5142404410244203
65210533423343
7562266062046
oct127011241357
933127735260
1011679384303
114a53787324
12231b49ab53
1311418c92b2
147cb1dd55d
1548553d4a3
hex2b82542ef

11679384303 has 32 divisors (see below), whose sum is σ = 18315360000. Its totient is φ = 7335186336.

The previous prime is 11679384287. The next prime is 11679384307. The reversal of 11679384303 is 30348397611.

11679384303 is a `hidden beast` number, since 116 + 79 + 38 + 430 + 3 = 666.

11679384303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11679384303 - 24 = 11679384287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11679384307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28233 + ... + 155421.

It is an arithmetic number, because the mean of its divisors is an integer number (572355000).

Almost surely, 211679384303 is an apocalyptic number.

11679384303 is a deficient number, since it is larger than the sum of its proper divisors (6635975697).

11679384303 is a wasteful number, since it uses less digits than its factorization.

11679384303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127396 (or 127390 counting only the distinct ones).

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

The spelling of 11679384303 in words is "eleven billion, six hundred seventy-nine million, three hundred eighty-four thousand, three hundred three".

Divisors: 1 3 9 19 27 57 171 179 513 537 1611 3401 4833 10203 30609 91827 127189 381567 1144701 2416591 3434103 7249773 21749319 22766831 65247957 68300493 204901479 432569789 614704437 1297709367 3893128101 11679384303