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105488842769 = 929272941609
BaseRepresentation
bin110001000111110100…
…0000000000000010001
3101002021200212110000122
41202033220000000101
53212020120432034
6120243320000025
710423053240362
oct1421750000021
9332250773018
10105488842769
11408127799a2
1218540000015
139c41a17bbb
14516a011b69
152b2605362e
hex188fa00011

105488842769 has 8 divisors (see below), whose sum is σ = 105643629000. Its totient is φ = 105334147072.

The previous prime is 105488842759. The next prime is 105488842777. The reversal of 105488842769 is 967248884501.

It can be written as a sum of positive squares in 4 ways, for example, as 39755574544 + 65733268225 = 199388^2 + 256385^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105488842769 - 212 = 105488838673 is a prime.

It is a super-2 number, since 2×1054888427692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105488842759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2514437 + ... + 2556045.

It is an arithmetic number, because the mean of its divisors is an integer number (13205453625).

Almost surely, 2105488842769 is an apocalyptic number.

It is an amenable number.

105488842769 is a deficient number, since it is larger than the sum of its proper divisors (154786231).

105488842769 is an equidigital number, since it uses as much as digits as its factorization.

105488842769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45267.

The product of its (nonzero) digits is 30965760, while the sum is 62.

The spelling of 105488842769 in words is "one hundred five billion, four hundred eighty-eight million, eight hundred forty-two thousand, seven hundred sixty-nine".

Divisors: 1 929 2729 41609 2535241 38654761 113550961 105488842769