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9666044720640 = 2934571117149239
BaseRepresentation
bin1000110010101000110100…
…1010010111011000000000
31021020001202021110022110000
42030222031022113120000
52231332024422030030
632320304124240000
72015230412325240
oct214521512273000
937201667408400
109666044720640
11309738a284880
1211014169a0000
135516726a0549
14255ba654db20
1511b6817ba860
hex8ca8d297600

9666044720640 has 3200 divisors, whose sum is σ = 46201757184000. Its totient is φ = 1869836451840.

The previous prime is 9666044720621. The next prime is 9666044720641. The reversal of 9666044720640 is 460274406669.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9666044720641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 40443701641 + ... + 40443701879.

It is an arithmetic number, because the mean of its divisors is an integer number (14438049120).

Almost surely, 29666044720640 is an apocalyptic number.

9666044720640 is a gapful number since it is divisible by the number (90) 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 9666044720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23100878592000).

9666044720640 is an abundant number, since it is smaller than the sum of its proper divisors (36535712463360).

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

9666044720640 is a wasteful number, since it uses less digits than its factorization.

9666044720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 9666044720640 in words is "nine trillion, six hundred sixty-six billion, forty-four million, seven hundred twenty thousand, six hundred forty".