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12320288064 = 263277143037
BaseRepresentation
bin10110111100101100…
…01010110101000000
31011210121210110222100
423132112022311000
5200212443204224
65354310310400
7614210502120
oct133626126500
934717713870
1012320288064
115252532857
12247a058400
131214616ba6
1484c392c80
154c193aac9
hex2de58ad40

12320288064 has 168 divisors, whose sum is σ = 40928105088. Its totient is φ = 3470423040.

The previous prime is 12320288039. The next prime is 12320288081. The reversal of 12320288064 is 46088202321.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264754 + ... + 307790.

Almost surely, 212320288064 is an apocalyptic number.

12320288064 is a gapful number since it is divisible by the number (14) 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 12320288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20464052544).

12320288064 is an abundant number, since it is smaller than the sum of its proper divisors (28607817024).

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

12320288064 is a wasteful number, since it uses less digits than its factorization.

12320288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43133 (or 43120 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12320288064 in words is "twelve billion, three hundred twenty million, two hundred eighty-eight thousand, sixty-four".