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12066804887424 = 2737295973127283
BaseRepresentation
bin1010111110011000010110…
…0111100110111110000000
31120201120112101021000012020
42233212011213212332000
53040200304022344144
641355225202401440
72353540450126110
oct257460547467600
946646471230166
1012066804887424
113932559861571
12142a764660280
13696b82bba181
142da07211d040
1515dd42c9b419
hexaf9859e6f80

12066804887424 has 1024 divisors, whose sum is σ = 39511425024000. Its totient is φ = 3190798614528.

The previous prime is 12066804887359. The next prime is 12066804887437. The reversal of 12066804887424 is 42478840866021.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 42638886387 + ... + 42638886669.

It is an arithmetic number, because the mean of its divisors is an integer number (38585376000).

Almost surely, 212066804887424 is an apocalyptic number.

12066804887424 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 12066804887424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19755712512000).

12066804887424 is an abundant number, since it is smaller than the sum of its proper divisors (27444620136576).

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

12066804887424 is a wasteful number, since it uses less digits than its factorization.

12066804887424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 60.

The spelling of 12066804887424 in words is "twelve trillion, sixty-six billion, eight hundred four million, eight hundred eighty-seven thousand, four hundred twenty-four".