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12452827968 = 2632731671487
BaseRepresentation
bin10111001100011111…
…10001001101000000
31012010212012012112200
423212033301031000
5201000410443333
65415403153200
7620410201620
oct134617611500
935125165480
1012452827968
115310329a69
1224b6515800
131235c11779
14861c14880
154cd3bbc13
hex2e63f1340

12452827968 has 336 divisors, whose sum is σ = 42766024704. Its totient is φ = 3389506560.

The previous prime is 12452827967. The next prime is 12452827987. The reversal of 12452827968 is 86972825421.

12452827968 is a `hidden beast` number, since 1 + 2 + 4 + 528 + 27 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12452827963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8373721 + ... + 8375207.

Almost surely, 212452827968 is an apocalyptic number.

12452827968 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 12452827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21383012352).

12452827968 is an abundant number, since it is smaller than the sum of its proper divisors (30313196736).

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

12452827968 is a wasteful number, since it uses less digits than its factorization.

12452827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1597 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 12452827968 in words is "twelve billion, four hundred fifty-two million, eight hundred twenty-seven thousand, nine hundred sixty-eight".