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12152127527568 = 24327103167700871
BaseRepresentation
bin1011000011010110001100…
…1111101001101010010000
31121000201202122212012211100
42300311203033221222100
53043100024121340233
641502335454544400
72362651022451030
oct260654317515220
947021678765740
1012152127527568
1139657632029a6
1214431b6b08100
136a1c2c9776a2
14300247b438c0
151611886a3813
hexb0d633e9a90

12152127527568 has 240 divisors, whose sum is σ = 39479929122816. Its totient is φ = 3417733681920.

The previous prime is 12152127527531. The next prime is 12152127527581. The reversal of 12152127527568 is 86572572125121.

12152127527568 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 2 + 1 + 2 + 75 + 2 + 7 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16988173 + ... + 17689043.

Almost surely, 212152127527568 is an apocalyptic number.

12152127527568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12152127527568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19739964561408).

12152127527568 is an abundant number, since it is smaller than the sum of its proper divisors (27327801595248).

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

12152127527568 is a wasteful number, since it uses less digits than its factorization.

12152127527568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701162 (or 701153 counting only the distinct ones).

The product of its digits is 4704000, while the sum is 54.

The spelling of 12152127527568 in words is "twelve trillion, one hundred fifty-two billion, one hundred twenty-seven million, five hundred twenty-seven thousand, five hundred sixty-eight".