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12263727005 = 56140208941
BaseRepresentation
bin10110110101111100…
…11001111110011101
31011122200100212210022
423122332121332131
5200104003231010
65344530121525
7612622650065
oct133276317635
934580325708
1012263727005
115223610682
1224631202a5
1312059a22ca
14844a6c3a5
154bb9b6d55
hex2daf99f9d

12263727005 has 8 divisors (see below), whose sum is σ = 14957726424. Its totient is φ = 9650145600.

The previous prime is 12263726999. The next prime is 12263727163. The reversal of 12263727005 is 50072736221.

It can be written as a sum of positive squares in 4 ways, for example, as 1708249 + 12262018756 = 1307^2 + 110734^2 .

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

It is not a de Polignac number, because 12263727005 - 24 = 12263726989 is a prime.

It is a super-3 number, since 3×122637270053 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20104166 + ... + 20104775.

It is an arithmetic number, because the mean of its divisors is an integer number (1869715803).

Almost surely, 212263727005 is an apocalyptic number.

It is an amenable number.

12263727005 is a deficient number, since it is larger than the sum of its proper divisors (2693999419).

12263727005 is an equidigital number, since it uses as much as digits as its factorization.

12263727005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40209007.

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 12263727005 in words is "twelve billion, two hundred sixty-three million, seven hundred twenty-seven thousand, five".

Divisors: 1 5 61 305 40208941 201044705 2452745401 12263727005