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16667143005753 = 3217809331345997
BaseRepresentation
bin1111001010001001111100…
…1000110110011000111001
32012000100210212000221202200
43302202133020312120321
54141033302102141003
655240440234020413
73340106225010042
oct362423710663071
965010725027680
1016667143005753
11534654a795a69
121a52254577709
1393b9216c9106
144189a05998c9
151dd83d6126a3
hexf289f236639

16667143005753 has 24 divisors (see below), whose sum is σ = 25491258498888. Its totient is φ = 10457678234112.

The previous prime is 16667143005743. The next prime is 16667143005823. The reversal of 16667143005753 is 35750034176661.

It can be written as a sum of positive squares in 4 ways, for example, as 538951261689 + 16128191744064 = 734133^2 + 4015992^2 .

It is a de Polignac number, because none of the positive numbers 2k-16667143005753 is a prime.

It is a super-2 number, since 2×166671430057532 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16667143005753.

It is not an unprimeable number, because it can be changed into a prime (16667143005743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11709751 + ... + 13055747.

It is an arithmetic number, because the mean of its divisors is an integer number (1062135770787).

Almost surely, 216667143005753 is an apocalyptic number.

It is an amenable number.

16667143005753 is a deficient number, since it is larger than the sum of its proper divisors (8824115493135).

16667143005753 is a wasteful number, since it uses less digits than its factorization.

16667143005753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426953 (or 1426950 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 16667143005753 in words is "sixteen trillion, six hundred sixty-seven billion, one hundred forty-three million, five thousand, seven hundred fifty-three".

Divisors: 1 3 9 17 51 153 80933 242799 728397 1345997 1375861 4037991 4127583 12113973 12382749 22881949 68645847 205937541 108935575201 326806725603 980420176809 1851904778417 5555714335251 16667143005753