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16066843104 = 25313103124991
BaseRepresentation
bin11101111011010100…
…01001000111100000
31112110201121012022010
432331222021013200
5230401102434404
611214144112520
71106102625114
oct167552110740
945421535263
1016066843104
1168a5350034
123144905740
13169088ab70
14ac5bb1744
156407eb189
hex3bda891e0

16066843104 has 96 divisors (see below), whose sum is σ = 45861064704. Its totient is φ = 4895608320.

The previous prime is 16066843097. The next prime is 16066843127. The reversal of 16066843104 is 40134866061.

16066843104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66049 + ... + 191039.

It is an arithmetic number, because the mean of its divisors is an integer number (477719424).

Almost surely, 216066843104 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 16066843104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22930532352).

16066843104 is an abundant number, since it is smaller than the sum of its proper divisors (29794221600).

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

16066843104 is a wasteful number, since it uses less digits than its factorization.

16066843104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125120 (or 125112 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 16066843104 in words is "sixteen billion, sixty-six million, eight hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 206 208 309 312 412 416 618 624 824 1236 1248 1339 1648 2472 2678 3296 4017 4944 5356 8034 9888 10712 16068 21424 32136 42848 64272 124991 128544 249982 374973 499964 749946 999928 1499892 1624883 1999856 2999784 3249766 3999712 4874649 5999568 6499532 9749298 11999136 12874073 12999064 19498596 25748146 25998128 38622219 38997192 51496292 51996256 77244438 77994384 102992584 154488876 155988768 167362949 205985168 308977752 334725898 411970336 502088847 617955504 669451796 1004177694 1235911008 1338903592 2008355388 2677807184 4016710776 5355614368 8033421552 16066843104