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16084256390977 = 1710113768377013
BaseRepresentation
bin1110101000001110100001…
…1000110111111101000001
32002221122021111000221110211
43222003220120313331001
54102011024114002402
654113001054554121
73250022603354305
oct352035030677501
962848244027424
1016084256390977
115141327465045
1219792a0b08941
138c897b3b1168
143d86a70abd05
151cd5c5db74d7
hexea0e8637f41

16084256390977 has 16 divisors (see below), whose sum is σ = 17324547283152. Its totient is φ = 14878837811200.

The previous prime is 16084256390971. The next prime is 16084256391001. The reversal of 16084256390977 is 77909365248061.

16084256390977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3357656776881 + 12726599614096 = 1832391^2 + 3567436^2 .

It is not a de Polignac number, because 16084256390977 - 219 = 16084255866689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16084256390971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33953278 + ... + 34423735.

It is an arithmetic number, because the mean of its divisors is an integer number (1082784205197).

It is a 1-persistent number, because it is pandigital, but 2⋅16084256390977 = 32168512781954 is not.

Almost surely, 216084256390977 is an apocalyptic number.

16084256390977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

16084256390977 is a deficient number, since it is larger than the sum of its proper divisors (1240290892175).

16084256390977 is a wasteful number, since it uses less digits than its factorization.

16084256390977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68377268.

The product of its (nonzero) digits is 137168640, while the sum is 67.

The spelling of 16084256390977 in words is "sixteen trillion, eighty-four billion, two hundred fifty-six million, three hundred ninety thousand, nine hundred seventy-seven".

Divisors: 1 17 101 137 1717 2329 13837 235229 68377013 1162409221 6906078313 9367650781 117403331321 159250063277 946132728881 16084256390977