Search a number
-
+
9442532352449 = 719103689286251
BaseRepresentation
bin1000100101101000001011…
…0010010110000111000001
31020102200211022111120100002
42021122002302112013001
52214201301240234244
632025501154405345
71663125516462650
oct211320262260701
936380738446302
109442532352449
11301061238a429
121086038b90855
135365720c9691
142490418c9197
1511594e078a4e
hex89682c961c1

9442532352449 has 16 divisors (see below), whose sum is σ = 11469723233280. Its totient is φ = 7593177330000.

The previous prime is 9442532352439. The next prime is 9442532352457.

9442532352449 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9442532352449 is a prime.

It is a super-2 number, since 2×94425323524492 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9442532352394 and 9442532352403.

It is not an unprimeable number, because it can be changed into a prime (9442532352439) by changing a digit.

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, 344629427 + ... + 344656824.

It is an arithmetic number, because the mean of its divisors is an integer number (716857702080).

Almost surely, 29442532352449 is an apocalyptic number.

It is an amenable number.

9442532352449 is a deficient number, since it is larger than the sum of its proper divisors (2027190880831).

9442532352449 is a wasteful number, since it uses less digits than its factorization.

9442532352449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689286380.

The product of its digits is 37324800, while the sum is 56.

The spelling of 9442532352449 in words is "nine trillion, four hundred forty-two billion, five hundred thirty-two million, three hundred fifty-two thousand, four hundred forty-nine".

Divisors: 1 7 19 103 133 721 1957 13699 689286251 4825003757 13096438769 70996483853 91675071383 496975386971 1348933193207 9442532352449