| Base | Representation |
|---|---|
| bin | 1011001100110111111001… |
| … | …1100100010011110100000 |
| 3 | 1121121101012202122210000000 |
| 4 | 2303031332130202132200 |
| 5 | 3103240220404214341 |
| 6 | 42105444054300000 |
| 7 | 2410533552150600 |
| oct | 263157634423640 |
| 9 | 47541182583000 |
| 10 | 12315792648096 |
| 11 | 3a19109972393 |
| 12 | 146aa72057600 |
| 13 | 6b44b3344c82 |
| 14 | 308132318c00 |
| 15 | 165566cb78b6 |
| hex | b337e7227a0 |
12315792648096 has 576 divisors, whose sum is σ = 42504576750720. Its totient is φ = 3501915379200.
The previous prime is 12315792648043. The next prime is 12315792648097. The reversal of 12315792648096 is 69084629751321.
12315792648096 is a `hidden beast` number, since 1 + 2 + 31 + 579 + 26 + 4 + 8 + 0 + 9 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (12315792648097) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 723556066 + ... + 723573086.
It is an arithmetic number, because the mean of its divisors is an integer number (73792667970).
It is a 1-persistent number, because it is pandigital, but 2⋅12315792648096 = 24631585296192 is not.
Almost surely, 212315792648096 is an apocalyptic number.
12315792648096 is a gapful number since it is divisible by the number (16) 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 12315792648096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21252288375360).
12315792648096 is an abundant number, since it is smaller than the sum of its proper divisors (30188784102624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12315792648096 is an equidigital number, since it uses as much as digits as its factorization.
12315792648096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17277 (or 17244 counting only the distinct ones).
The product of its (nonzero) digits is 39191040, while the sum is 63.
The spelling of 12315792648096 in words is "twelve trillion, three hundred fifteen billion, seven hundred ninety-two million, six hundred forty-eight thousand, ninety-six".
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