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313225027569 = 36429663961
BaseRepresentation
bin1001000111011011010…
…10101001111111110001
31002221111012011001000000
410203231222221333301
520112441101340234
6355521003220213
731426002543126
oct4435552517761
91087435131000
10313225027569
111109243a9253
1250856517669
13236c9a0b4cc
141123572674d
158233760899
hex48edaa9ff1

313225027569 has 14 divisors (see below), whose sum is σ = 469622710466. Its totient is φ = 208816684560.

The previous prime is 313225027541. The next prime is 313225027571. The reversal of 313225027569 is 965720522313.

313225027569 is a `hidden beast` number, since 3 + 1 + 32 + 2 + 50 + 2 + 7 + 569 = 666.

It can be written as a sum of positive squares in only one way, i.e., 270673589169 + 42551438400 = 520263^2 + 206280^2 .

It is not a de Polignac number, because 313225027569 - 29 = 313225027057 is a prime.

It is a super-2 number, since 2×3132250275692 (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 (313225027529) 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 13 ways as a sum of consecutive naturals, for example, 214831252 + ... + 214832709.

It is an arithmetic number, because the mean of its divisors is an integer number (33544479319).

Almost surely, 2313225027569 is an apocalyptic number.

It is an amenable number.

313225027569 is a deficient number, since it is larger than the sum of its proper divisors (156397682897).

313225027569 is an frugal number, since it uses more digits than its factorization.

313225027569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429663979 (or 429663964 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 313225027569 in words is "three hundred thirteen billion, two hundred twenty-five million, twenty-seven thousand, five hundred sixty-nine".

Divisors: 1 3 9 27 81 243 729 429663961 1288991883 3866975649 11600926947 34802780841 104408342523 313225027569