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12453396480 = 214325719127
BaseRepresentation
bin10111001100100011…
…11100000000000000
31012010220021002101200
423212101330000000
5201001032141410
65415423301200
7620415060240
oct134621740000
935126232350
1012453396480
115310688108
1224b674a800
131236080475
14861d21b20
154cd4803c0
hex2e647c000

12453396480 has 720 divisors, whose sum is σ = 52343316480. Its totient is φ = 2675441664.

The previous prime is 12453396409. The next prime is 12453396493. The reversal of 12453396480 is 8469335421.

12453396480 is a `hidden beast` number, since 1 + 24 + 533 + 96 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 98058177 + ... + 98058303.

Almost surely, 212453396480 is an apocalyptic number.

12453396480 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 12453396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26171658240).

12453396480 is an abundant number, since it is smaller than the sum of its proper divisors (39889920000).

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

12453396480 is a wasteful number, since it uses less digits than its factorization.

12453396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12453396480 in words is "twelve billion, four hundred fifty-three million, three hundred ninety-six thousand, four hundred eighty".