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12444797880 = 2335561139151
BaseRepresentation
bin10111001011100010…
…01000101110111000
31012010022002020100000
423211301020232320
5200441332013010
65414515113000
7620252015364
oct134561105670
935108066300
1012444797880
115306844929
1224b38a2760
13123435c738
14860b242a4
154cc8327c0
hex2e5c48bb8

12444797880 has 384 divisors, whose sum is σ = 43222233600. Its totient is φ = 3219264000.

The previous prime is 12444797837. The next prime is 12444797881. The reversal of 12444797880 is 8879744421.

12444797880 is a `hidden beast` number, since 1 + 24 + 4 + 479 + 78 + 80 = 666.

12444797880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444797881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82415805 + ... + 82415955.

It is an arithmetic number, because the mean of its divisors is an integer number (112557900).

Almost surely, 212444797880 is an apocalyptic number.

12444797880 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 12444797880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21611116800).

12444797880 is an abundant number, since it is smaller than the sum of its proper divisors (30777435720).

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

12444797880 is a wasteful number, since it uses less digits than its factorization.

12444797880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 12444797880 in words is "twelve billion, four hundred forty-four million, seven hundred ninety-seven thousand, eight hundred eighty".