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16513912801 = 294176918061
BaseRepresentation
bin11110110000100111…
…00100111111100001
31120121212211200122001
433120103210333201
5232310030202201
611330354244001
71123141641241
oct173023447741
946555750561
1016513912801
117004745121
12324a586601
13173239cb49
14b29309b21
15669bab301
hex3d84e4fe1

16513912801 has 16 divisors (see below), whose sum is σ = 17523752400. Its totient is φ = 15534489600.

The previous prime is 16513912781. The next prime is 16513912823. The reversal of 16513912801 is 10821931561.

It can be written as a sum of positive squares in 8 ways, for example, as 404211025 + 16109701776 = 20105^2 + 126924^2 .

It is a cyclic number.

It is not a de Polignac number, because 16513912801 - 27 = 16513912673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16513912901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905311 + ... + 923371.

It is an arithmetic number, because the mean of its divisors is an integer number (1095234525).

Almost surely, 216513912801 is an apocalyptic number.

It is an amenable number.

16513912801 is a deficient number, since it is larger than the sum of its proper divisors (1009839599).

16513912801 is a wasteful number, since it uses less digits than its factorization.

16513912801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18900.

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 16513912801 in words is "sixteen billion, five hundred thirteen million, nine hundred twelve thousand, eight hundred one".

Divisors: 1 29 41 769 1189 18061 22301 31529 523769 740501 914341 13888909 21474529 402778361 569445269 16513912801