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12473082131328 = 27367132192313
BaseRepresentation
bin1011010110000001110110…
…1000010011001110000000
31122011102012112120102000000
42311200131220103032000
53113324333011200303
642310015502000000
72425102413536550
oct265403550231600
948142175512000
1012473082131328
113a79893766145
121495449b76000
136c628bb85300
143119b3c5d160
151696c07e3da3
hexb581da13380

12473082131328 has 2016 divisors, whose sum is σ = 48815309013840. Its totient is φ = 3106510258176.

The previous prime is 12473082131327. The next prime is 12473082131329. The reversal of 12473082131328 is 82313128037421.

12473082131328 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 308 + 2 + 1 + 313 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (12473082131327) and next prime (12473082131329).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12473082131327) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 39850102500 + ... + 39850102812.

Almost surely, 212473082131328 is an apocalyptic number.

12473082131328 is a gapful number since it is divisible by the number (18) 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 12473082131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24407654506920).

12473082131328 is an abundant number, since it is smaller than the sum of its proper divisors (36342226882512).

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

12473082131328 is an equidigital number, since it uses as much as digits as its factorization.

12473082131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12473082131328 in words is "twelve trillion, four hundred seventy-three billion, eighty-two million, one hundred thirty-one thousand, three hundred twenty-eight".