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12445274880 = 283253134849
BaseRepresentation
bin10111001011100101…
…11101001100000000
31012010022222110122200
423211302331030000
5200441442244010
65414533233200
7620256043143
oct134562751400
935108873580
1012445274880
115307040245
1224b3a92800
13123449889c
14860c0a05a
154cc8c8cc0
hex2e5cbd300

12445274880 has 216 divisors, whose sum is σ = 44449641600. Its totient is φ = 3211591680.

The previous prime is 12445274867. The next prime is 12445274887. The reversal of 12445274880 is 8847254421.

12445274880 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 527 + 48 + 80 = 666.

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 (12445274887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339696 + ... + 374544.

Almost surely, 212445274880 is an apocalyptic number.

12445274880 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 12445274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22224820800).

12445274880 is an abundant number, since it is smaller than the sum of its proper divisors (32004366720).

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

12445274880 is a wasteful number, since it uses less digits than its factorization.

12445274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34907 (or 34890 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 12445274880 in words is "twelve billion, four hundred forty-five million, two hundred seventy-four thousand, eight hundred eighty".