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64468486446 = 237132191014733
BaseRepresentation
bin111100000010100111…
…110000100100101110
320011101220211102210020
4330002213300210232
52024012413031241
645341051223010
74441406043660
oct740247604456
9204356742706
1064468486446
1125382864071
12105b2447a66
13610544bb00
143198118530
151a24bb8b66
hexf029f092e

64468486446 has 192 divisors, whose sum is σ = 169660500480. Its totient is φ = 15944947200.

The previous prime is 64468486417. The next prime is 64468486451.

64468486446 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64468486446.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13618696 + ... + 13623428.

It is an arithmetic number, because the mean of its divisors is an integer number (883648440).

Almost surely, 264468486446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64468486446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84830250240).

64468486446 is an abundant number, since it is smaller than the sum of its proper divisors (105192014034).

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

64468486446 is a wasteful number, since it uses less digits than its factorization.

64468486446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4878 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 60.

The spelling of 64468486446 in words is "sixty-four billion, four hundred sixty-eight million, four hundred eighty-six thousand, four hundred forty-six".