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9723289731961 = 134184512
BaseRepresentation
bin1000110101111110000100…
…1110110000001101111001
31021102112111210001012012111
42031133201032300031321
52233301244132410321
632402452335412321
72022325120024051
oct215374116601571
937375453035174
109723289731961
113109695628093
1211105320840a1
13556b96430000
14258877178561
1511cdd22255e1
hex8d7e13b0379

9723289731961 has 15 divisors (see below), whose sum is σ = 10534106429673. Its totient is φ = 8974857925800.

The previous prime is 9723289731899. The next prime is 9723289732127. The reversal of 9723289731961 is 1691379823279.

It is a happy number.

The square root of 9723289731961 is 3118219.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4820962357561 + 4902327374400 = 2195669^2 + 2214120^2 .

It is not a de Polignac number, because 9723289731961 - 211 = 9723289729913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9723289741961) 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 14 ways as a sum of consecutive naturals, for example, 526969786 + ... + 526988236.

Almost surely, 29723289731961 is an apocalyptic number.

9723289731961 is the 3118219-th square number.

9723289731961 is the 1559110-th centered octagonal number.

It is an amenable number.

9723289731961 is a deficient number, since it is larger than the sum of its proper divisors (810816697712).

9723289731961 is an frugal number, since it uses more digits than its factorization.

9723289731961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36954 (or 18464 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 67.

The spelling of 9723289731961 in words is "nine trillion, seven hundred twenty-three billion, two hundred eighty-nine million, seven hundred thirty-one thousand, nine hundred sixty-one".

Divisors: 1 13 169 2197 18451 28561 239863 3118219 40536847 340439401 526979011 4425712213 57534258769 747945363997 9723289731961