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327407306497 = 5346113400209
BaseRepresentation
bin1001100001110101111…
…11110000011100000001
31011022002120121110020221
410300322333300130001
520331012232301442
6410224150503041
732440313121115
oct4607277603401
91138076543227
10327407306497
11116941986327
1253554064a81
1324b4a00b62b
1411bbd0cb745
1587b389c467
hex4c3aff0701

327407306497 has 8 divisors (see below), whose sum is σ = 334308439080. Its totient is φ = 320532975360.

The previous prime is 327407306489. The next prime is 327407306537. The reversal of 327407306497 is 794603704723.

It can be written as a sum of positive squares in 4 ways, for example, as 4596975601 + 322810330896 = 67801^2 + 568164^2 .

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 327407306497 - 23 = 327407306489 is a prime.

It is a super-3 number, since 3×3274073064973 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (327407306407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6675672 + ... + 6724537.

It is an arithmetic number, because the mean of its divisors is an integer number (41788554885).

Almost surely, 2327407306497 is an apocalyptic number.

It is an amenable number.

327407306497 is a deficient number, since it is larger than the sum of its proper divisors (6901132583).

327407306497 is a wasteful number, since it uses less digits than its factorization.

327407306497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13400723.

The product of its (nonzero) digits is 5334336, while the sum is 52.

The spelling of 327407306497 in words is "three hundred twenty-seven billion, four hundred seven million, three hundred six thousand, four hundred ninety-seven".

Divisors: 1 53 461 24433 13400209 710211077 6177496349 327407306497