Search a number
-
+
105182339679 = 3241285046991
BaseRepresentation
bin110000111110101011…
…0110010001001011111
3101001111100010110211100
41201331112302021133
53210403134332204
6120153050324143
710412342064354
oct1417526621137
9331440113740
10105182339679
114067576365a
1218475429653
139bc3381121
14513b42862b
152b091aca39
hex187d5b225f

105182339679 has 12 divisors (see below), whose sum is σ = 155635657632. Its totient is φ = 68411277600.

The previous prime is 105182339671. The next prime is 105182339693. The reversal of 105182339679 is 976933281501.

105182339679 is a `hidden beast` number, since 1 + 0 + 5 + 182 + 3 + 396 + 79 = 666.

It is not a de Polignac number, because 105182339679 - 23 = 105182339671 is a prime.

It is a super-2 number, since 2×1051823396792 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105182339671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142523127 + ... + 142523864.

It is an arithmetic number, because the mean of its divisors is an integer number (12969638136).

Almost surely, 2105182339679 is an apocalyptic number.

105182339679 is a deficient number, since it is larger than the sum of its proper divisors (50453317953).

105182339679 is a wasteful number, since it uses less digits than its factorization.

105182339679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285047038 (or 285047035 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 105182339679 in words is "one hundred five billion, one hundred eighty-two million, three hundred thirty-nine thousand, six hundred seventy-nine".

Divisors: 1 3 9 41 123 369 285046991 855140973 2565422919 11686926631 35060779893 105182339679