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327117346561 = 7011874924889
BaseRepresentation
bin1001100001010011011…
…01101001011100000001
31011021100100222222000001
410300221231221130001
520324414020042221
6410135312000001
732430162365635
oct4605155513401
91137310888001
10327117346561
1111680323a115
1253492b30001
1324b01c176c5
1411b927acdc5
1587981c3391
hex4c29b69701

327117346561 has 8 divisors (see below), whose sum is σ = 327614625000. Its totient is φ = 326620156800.

The previous prime is 327117346559. The next prime is 327117346583. The reversal of 327117346561 is 165643711723.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29939726961 + 297177619600 = 173031^2 + 545140^2 .

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 327117346561 - 21 = 327117346559 is a prime.

It is a super-2 number, since 2×3271173465612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (327117347561) 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 7 ways as a sum of consecutive naturals, for example, 13130605 + ... + 13155493.

It is an arithmetic number, because the mean of its divisors is an integer number (40951828125).

Almost surely, 2327117346561 is an apocalyptic number.

It is an amenable number.

327117346561 is a deficient number, since it is larger than the sum of its proper divisors (497278439).

327117346561 is a wasteful number, since it uses less digits than its factorization.

327117346561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44339.

The product of its digits is 635040, while the sum is 46.

The spelling of 327117346561 in words is "three hundred twenty-seven billion, one hundred seventeen million, three hundred forty-six thousand, five hundred sixty-one".

Divisors: 1 701 18749 24889 13143049 17447189 466643861 327117346561