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12457798080 = 2635713592417
BaseRepresentation
bin10111001101000101…
…01110100111000000
31012011012112201020220
423212202232213000
5201003144014310
65420101503040
7620500352010
oct134642564700
935135481226
1012457798080
1153131140a2
1224b8111a80
131236c61a70
14862749c40
154cda4e670
hex2e68ae9c0

12457798080 has 448 divisors, whose sum is σ = 49526830080. Its totient is φ = 2582839296.

The previous prime is 12457798079. The next prime is 12457798091. The reversal of 12457798080 is 8089775421.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5153032 + ... + 5155448.

It is an arithmetic number, because the mean of its divisors is an integer number (110550960).

Almost surely, 212457798080 is an apocalyptic number.

12457798080 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 12457798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24763415040).

12457798080 is an abundant number, since it is smaller than the sum of its proper divisors (37069032000).

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

12457798080 is a wasteful number, since it uses less digits than its factorization.

12457798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 12457798080 in words is "twelve billion, four hundred fifty-seven million, seven hundred ninety-eight thousand, eighty".