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12325428872064 = 273472113171147
BaseRepresentation
bin1011001101011011110011…
…0011110100001110000000
31121122022002022220200020000
42303112330303310032000
53103414434242401224
642114120204120000
72411324421541200
oct263267463641600
947568068820200
1012325428872064
113a22204303050
121470901236000
136b538a864a49
143087a8026400
1516592cc6a0c9
hexb35bccf4380

12325428872064 has 960 divisors, whose sum is σ = 48050103467520. Its totient is φ = 3098095257600.

The previous prime is 12325428872011. The next prime is 12325428872087. The reversal of 12325428872064 is 46027882452321.

12325428872064 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 5 + 428 + 8 + 7 + 206 + 4 = 666.

12325428872064 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 self number, because there is not a number n which added to its sum of digits gives 12325428872064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 173203339 + ... + 173274485.

It is an arithmetic number, because the mean of its divisors is an integer number (50052191112).

Almost surely, 212325428872064 is an apocalyptic number.

12325428872064 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 12325428872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24025051733760).

12325428872064 is an abundant number, since it is smaller than the sum of its proper divisors (35724674595456).

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

12325428872064 is a wasteful number, since it uses less digits than its factorization.

12325428872064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71229 (or 71201 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 12325428872064 in words is "twelve trillion, three hundred twenty-five billion, four hundred twenty-eight million, eight hundred seventy-two thousand, sixty-four".