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12422066688 = 2936231447
BaseRepresentation
bin10111001000110100…
…11011001000000000
31012001201022101000000
423210122123020000
5200420022113223
65412344000000
7616554552603
oct134432331000
935051271000
1012422066688
1152a4a29619
1224a8160000
13122c731125
1485bac833a
154ca842543
hex2e469b200

12422066688 has 280 divisors, whose sum is σ = 38857566528. Its totient is φ = 3957921792.

The previous prime is 12422066641. The next prime is 12422066689. The reversal of 12422066688 is 88666022421.

It is a super-2 number, since 2×124220666882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12422066689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8583981 + ... + 8585427.

Almost surely, 212422066688 is an apocalyptic number.

12422066688 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 12422066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19428783264).

12422066688 is an abundant number, since it is smaller than the sum of its proper divisors (26435499840).

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

12422066688 is an frugal number, since it uses more digits than its factorization.

12422066688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12422066688 in words is "twelve billion, four hundred twenty-two million, sixty-six thousand, six hundred eighty-eight".