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64444600644446 = 21121726635882353
BaseRepresentation
bin11101010011100101011011…
…00001110111001101011110
322110011211210000122002010102
432221302231201313031132
531421330020231110241
6345021235115141102
716400653165162121
oct1651625541671536
9273154700562112
1064444600644446
111959688aaa6400
127289966444792
1329c613b24c219
1411cb1c74303b8
1576b542cac39b
hex3a9cad87735e

64444600644446 has 48 divisors (see below), whose sum is σ = 112546184964192. Its totient is φ = 27559525002240.

The previous prime is 64444600644443. The next prime is 64444600644449.

64444600644446 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (64444600644443) and next prime (64444600644449).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64444600644391 and 64444600644400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64444600644443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8014406 + ... + 13896758.

It is an arithmetic number, because the mean of its divisors is an integer number (2344712186754).

Almost surely, 264444600644446 is an apocalyptic number.

64444600644446 is a deficient number, since it is larger than the sum of its proper divisors (48101584319746).

64444600644446 is a wasteful number, since it uses less digits than its factorization.

64444600644446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885057 (or 5885046 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 56.

It can be divided in two parts, 64444600 and 644446, that multiplied together give a square (41531064691600 = 64444602).

The spelling of 64444600644446 in words is "sixty-four trillion, four hundred forty-four billion, six hundred million, six hundred forty-four thousand, four hundred forty-six".

Divisors: 1 2 11 17 22 34 121 187 242 374 2057 2663 4114 5326 29293 45271 58586 90542 322223 497981 644446 995962 5477791 5882353 10955582 11764706 64705883 100000001 129411766 200000002 711764713 1100000011 1423529426 2200000022 12100000121 15664706039 24200000242 31329412078 172311766429 266300002663 344623532858 532600005326 1895429430719 2929300029293 3790858861438 5858600058586 32222300322223 64444600644446