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12152466105216 = 27331647047149
BaseRepresentation
bin1011000011010111011101…
…1011001110001110000000
31121000202122020221202001020
42300311313123032032000
53043101222310331331
641502433231505440
72362662303352623
oct260656733161600
947022566852036
1012152466105216
113965917336338
121443290388280
136a1c84b617a8
1430027aab9dba
151611a8282c96
hexb0d776ce380

12152466105216 has 32 divisors (see below), whose sum is σ = 32279988093000. Its totient is φ = 4050822034944.

The previous prime is 12152466105193. The next prime is 12152466105233. The reversal of 12152466105216 is 61250166425121.

It is a happy number.

12152466105216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15823523191 + ... + 15823523958.

Almost surely, 212152466105216 is an apocalyptic number.

12152466105216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12152466105216 is an abundant number, since it is smaller than the sum of its proper divisors (20127521987784).

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

12152466105216 is an equidigital number, since it uses as much as digits as its factorization.

12152466105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31647047166 (or 31647047154 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 12152466105216 in words is "twelve trillion, one hundred fifty-two billion, four hundred sixty-six million, one hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 31647047149 63294094298 94941141447 126588188596 189882282894 253176377192 379764565788 506352754384 759529131576 1012705508768 1519058263152 2025411017536 3038116526304 4050822035072 6076233052608 12152466105216