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12104517480 = 23351117678397
BaseRepresentation
bin10110100010111110…
…00100011101101000
31011020120210012101020
423101133010131220
5144242224024410
65321041452440
7605650462266
oct132137043550
934216705336
1012104517480
115151759160
122419941120
1311ab9ca5a3
1482b867436
154aca18a70
hex2d17c4768

12104517480 has 512 divisors, whose sum is σ = 43528181760. Its totient is φ = 2660106240.

The previous prime is 12104517427. The next prime is 12104517559. The reversal of 12104517480 is 8471540121.

12104517480 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 (33).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 124788792 + ... + 124788888.

It is an arithmetic number, because the mean of its divisors is an integer number (85015980).

Almost surely, 212104517480 is an apocalyptic number.

12104517480 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 12104517480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764090880).

12104517480 is an abundant number, since it is smaller than the sum of its proper divisors (31423664280).

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

12104517480 is a wasteful number, since it uses less digits than its factorization.

12104517480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 12104517480 in words is "twelve billion, one hundred four million, five hundred seventeen thousand, four hundred eighty".