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66665066624 = 271364162501
BaseRepresentation
bin111110000101100011…
…000011000010000000
320101002000002021022122
4332011203003002000
52043012224112444
650343035423412
74550010500552
oct760543030200
9211060067278
1066665066624
11262aa768292
1210b05bb4b68
1363955539b0
143325b454d2
151b0295c4ee
hexf858c3080

66665066624 has 64 divisors (see below), whose sum is σ = 143250833880. Its totient is φ = 30720000000.

The previous prime is 66665066617. The next prime is 66665066639. The reversal of 66665066624 is 42666056666.

It can be written as a sum of positive squares in 4 ways, for example, as 66584641600 + 80425024 = 258040^2 + 8968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×666650666242 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1035374 + ... + 1097874.

Almost surely, 266665066624 is an apocalyptic number.

66665066624 is a gapful number since it is divisible by the number (64) 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 66665066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71625416940).

66665066624 is an abundant number, since it is smaller than the sum of its proper divisors (76585767256).

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

66665066624 is a wasteful number, since it uses less digits than its factorization.

66665066624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63169 (or 63157 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 53.

The spelling of 66665066624 in words is "sixty-six billion, six hundred sixty-five million, sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 641 832 1282 1664 2564 5128 8333 10256 16666 20512 33332 41024 62501 66664 82048 125002 133328 250004 266656 500008 533312 812513 1000016 1066624 1625026 2000032 3250052 4000064 6500104 8000128 13000208 26000416 40063141 52000832 80126282 104001664 160252564 320505128 520820833 641010256 1041641666 1282020512 2083283332 2564041024 4166566664 5128082048 8333133328 16666266656 33332533312 66665066624