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105483371247 = 32172156331973
BaseRepresentation
bin110001000111101001…
…1001000001011101111
3101002021022120110111200
41202033103020023233
53212012220334442
6120243002420543
710422655601412
oct1421723101357
9332238513450
10105483371247
114080a682081
121853a201753
139c40850607
1451693c9b79
152b2582234c
hex188f4c82ef

105483371247 has 24 divisors (see below), whose sum is σ = 161340036624. Its totient is φ = 66180505344.

The previous prime is 105483371237. The next prime is 105483371267. The reversal of 105483371247 is 742173384501.

105483371247 is a `hidden beast` number, since 1 + 0 + 548 + 33 + 71 + 2 + 4 + 7 = 666.

It is not a de Polignac number, because 105483371247 - 28 = 105483370991 is a prime.

It is a super-2 number, since 2×1054833712472 (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 (105483371207) 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 23 ways as a sum of consecutive naturals, for example, 3283153 + ... + 3315125.

It is an arithmetic number, because the mean of its divisors is an integer number (6722501526).

Almost surely, 2105483371247 is an apocalyptic number.

105483371247 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105483371247 is a deficient number, since it is larger than the sum of its proper divisors (55856665377).

105483371247 is a wasteful number, since it uses less digits than its factorization.

105483371247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53559 (or 53556 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 105483371247 in words is "one hundred five billion, four hundred eighty-three million, three hundred seventy-one thousand, two hundred forty-seven".

Divisors: 1 3 9 17 51 153 21563 31973 64689 95919 194067 287757 366571 543541 1099713 1630623 3299139 4891869 689433799 2068301397 6204904191 11720374583 35161123749 105483371247