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12308487840 = 2534511247167
BaseRepresentation
bin10110111011010010…
…01001111010100000
31011202210120222010000
423131221021322200
5200201433102330
65353205340000
7614005264125
oct133551117240
934683528100
1012308487840
115246903100
122476107600
131212044acc
1484a9a074c
154c08a9560
hex2dda49ea0

12308487840 has 720 divisors, whose sum is σ = 49054553856. Its totient is φ = 2902901760.

The previous prime is 12308487839. The next prime is 12308487859. The reversal of 12308487840 is 4878480321.

12308487840 is a `hidden beast` number, since 123 + 0 + 8 + 487 + 8 + 40 = 666.

12308487840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 119 ways as a sum of consecutive naturals, for example, 73703437 + ... + 73703603.

Almost surely, 212308487840 is an apocalyptic number.

12308487840 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 12308487840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24527276928).

12308487840 is an abundant number, since it is smaller than the sum of its proper divisors (36746066016).

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

12308487840 is a wasteful number, since it uses less digits than its factorization.

12308487840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12308487840 in words is "twelve billion, three hundred eight million, four hundred eighty-seven thousand, eight hundred forty".