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66418444288 = 21176769149
BaseRepresentation
bin111101110110110110…
…010000100000000000
320100102211000120002001
4331312312100200000
52042011110204123
650302345433344
74540624314160
oct756666204000
9210384016061
1066418444288
1126193531279
1210a5749b854
136356424811
1433010a85a0
151adae940ad
hexf76d90800

66418444288 has 96 divisors (see below), whose sum is σ = 154044072000. Its totient is φ = 28039790592.

The previous prime is 66418444273. The next prime is 66418444357. The reversal of 66418444288 is 88244481466.

It is a super-2 number, since 2×664184442882 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 925938 + ... + 995086.

It is an arithmetic number, because the mean of its divisors is an integer number (1604625750).

Almost surely, 266418444288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66418444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77022036000).

66418444288 is an abundant number, since it is smaller than the sum of its proper divisors (87625627712).

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

66418444288 is an equidigital number, since it uses as much as digits as its factorization.

66418444288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69245 (or 69225 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 55.

The spelling of 66418444288 in words is "sixty-six billion, four hundred eighteen million, four hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 512 536 896 938 1024 1072 1792 1876 2048 2144 3584 3752 4288 7168 7504 8576 14336 15008 17152 30016 34304 60032 68608 69149 120064 137216 138298 240128 276596 480256 484043 553192 960512 968086 1106384 1936172 2212768 3872344 4425536 4632983 7744688 8851072 9265966 15489376 17702144 18531932 30978752 32430881 35404288 37063864 61957504 64861762 70808576 74127728 123915008 129723524 141617152 148255456 247830016 259447048 296510912 495660032 518894096 593021824 991320064 1037788192 1186043648 2075576384 2372087296 4151152768 4744174592 8302305536 9488349184 16604611072 33209222144 66418444288