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9744842318929 = 2412129532
BaseRepresentation
bin1000110111001110010111…
…0111010110010001010001
31021111121010211001001101021
42031303211313112101101
52234124414113201204
632420415130235441
72024020164006424
oct215634567262121
937447124031337
109744842318929
113117845494733
121114747b85b81
13558c1c67c953
1425991d7319bb
1511d744427154
hex8dce5dd6451

9744842318929 has 9 divisors (see below), whose sum is σ = 9786200645649. Its totient is φ = 9703658087040.

The previous prime is 9744842318927. The next prime is 9744842318993. The reversal of 9744842318929 is 9298132484479.

The square root of 9744842318929 is 3121673.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 420662502225 + 9324179816704 = 648585^2 + 3053552^2 .

It is not a de Polignac number, because 9744842318929 - 21 = 9744842318927 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9744842318927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 752316717 + ... + 752329669.

Almost surely, 29744842318929 is an apocalyptic number.

9744842318929 is the 3121673-rd square number.

9744842318929 is the 1560837-th centered octagonal number.

It is an amenable number.

9744842318929 is a deficient number, since it is larger than the sum of its proper divisors (41358326720).

9744842318929 is an frugal number, since it uses more digits than its factorization.

9744842318929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26388 (or 13194 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 70.

The spelling of 9744842318929 in words is "nine trillion, seven hundred forty-four billion, eight hundred forty-two million, three hundred eighteen thousand, nine hundred twenty-nine".

Divisors: 1 241 12953 58081 3121673 167780209 752323193 40435030369 9744842318929