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12980943360 = 29355711271
BaseRepresentation
bin11000001011011100…
…10111101000000000
31020111122221020200000
430011232113220000
5203041110141420
65544030400000
7636452124630
oct140556275000
936448836600
1012980943360
115561449970
122623360000
1312bb45ba98
148b20086c0
1550e93a690
hex305b97a00

12980943360 has 960 divisors, whose sum is σ = 58340265984. Its totient is φ = 2687385600.

The previous prime is 12980943331. The next prime is 12980943361. The reversal of 12980943360 is 6334908921.

It is a happy number.

12980943360 is a `hidden beast` number, since 129 + 80 + 94 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (12980943361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47900025 + ... + 47900295.

Almost surely, 212980943360 is an apocalyptic number.

12980943360 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 12980943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29170132992).

12980943360 is an abundant number, since it is smaller than the sum of its proper divisors (45359322624).

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

12980943360 is an equidigital number, since it uses as much as digits as its factorization.

12980943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12980943360 in words is "twelve billion, nine hundred eighty million, nine hundred forty-three thousand, three hundred sixty".