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12453191920512 = 27327373431729
BaseRepresentation
bin1011010100110111110000…
…0101001010101110000000
31122002111212100122000012100
42311031330011022232000
53113013114112424022
642252530053430400
72423466463536000
oct265157405125600
948074770560170
1012453191920512
113a71407204392
12149161893b400
136c443c16aab5
14310a48396000
15168e095131ac
hexb537c14ab80

12453191920512 has 384 divisors, whose sum is σ = 42363074520000. Its totient is φ = 3509306228736.

The previous prime is 12453191920511. The next prime is 12453191920523. The reversal of 12453191920512 is 21502919135421.

12453191920512 is a `hidden beast` number, since 1 + 2 + 4 + 531 + 91 + 9 + 20 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12453191920511) 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, 28629064 + ... + 29060792.

Almost surely, 212453191920512 is an apocalyptic number.

12453191920512 is a gapful number since it is divisible by the number (12) 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 12453191920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21181537260000).

12453191920512 is an abundant number, since it is smaller than the sum of its proper divisors (29909882599488).

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

12453191920512 is an equidigital number, since it uses as much as digits as its factorization.

12453191920512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431843 (or 431814 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 12453191920512 in words is "twelve trillion, four hundred fifty-three billion, one hundred ninety-one million, nine hundred twenty thousand, five hundred twelve".