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18063368352 = 253283755663
BaseRepresentation
bin10000110100101010…
…010010000010100000
31201121212102012001200
4100310222102002200
5243443210241402
612144224401200
71206425045331
oct206452220240
951555365050
1018063368352
11772a333aa7
123601476200
13191b3b9753
14c35004288
1570ac2421c
hex434a920a0

18063368352 has 72 divisors (see below), whose sum is σ = 51986660544. Its totient is φ = 5948571264.

The previous prime is 18063368341. The next prime is 18063368357. The reversal of 18063368352 is 25386336081.

18063368352 is a `hidden beast` number, since 1 + 8 + 0 + 633 + 6 + 8 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×180633683523 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18063368298 and 18063368307.

It is not an unprimeable number, because it can be changed into a prime (18063368357) 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 11 ways as a sum of consecutive naturals, for example, 353928 + ... + 401735.

It is an arithmetic number, because the mean of its divisors is an integer number (722036952).

Almost surely, 218063368352 is an apocalyptic number.

18063368352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18063368352 is an abundant number, since it is smaller than the sum of its proper divisors (33923292192).

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

18063368352 is a wasteful number, since it uses less digits than its factorization.

18063368352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755762 (or 755751 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 18063368352 in words is "eighteen billion, sixty-three million, three hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 23904 755663 1511326 2266989 3022652 4533978 6045304 6800967 9067956 12090608 13601934 18135912 24181216 27203868 36271824 54407736 62720029 72543648 108815472 125440058 188160087 217630944 250880116 376320174 501760232 564480261 752640348 1003520464 1128960522 1505280696 2007040928 2257921044 3010561392 4515842088 6021122784 9031684176 18063368352