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12453423840 = 253351113191061
BaseRepresentation
bin10111001100100100…
…00010101011100000
31012010220022110221000
423212102002223200
5201001034030330
65415424032000
7620415233064
oct134622025340
935126273830
1012453423840
1153106a6720
1224b6762600
13123608ca60
14861d2baa4
154cd488560
hex2e6482ae0

12453423840 has 768 divisors, whose sum is σ = 53952998400. Its totient is φ = 2637619200.

The previous prime is 12453423809. The next prime is 12453423911. The reversal of 12453423840 is 4832435421.

12453423840 is a `hidden beast` number, since 1 + 24 + 534 + 23 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12453423795 and 12453423804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11736910 + ... + 11737970.

It is an arithmetic number, because the mean of its divisors is an integer number (70251300).

Almost surely, 212453423840 is an apocalyptic number.

12453423840 is a gapful number since it is divisible by the number (10) 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 12453423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26976499200).

12453423840 is an abundant number, since it is smaller than the sum of its proper divisors (41499574560).

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

12453423840 is a wasteful number, since it uses less digits than its factorization.

12453423840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 12453423840 in words is "twelve billion, four hundred fifty-three million, four hundred twenty-three thousand, eight hundred forty".