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78345309305 = 5149105161489
BaseRepresentation
bin100100011110110111…
…1101000110001111001
321111020000112002002102
41020331233220301321
52240422344344210
655554043513145
75442320066324
oct1107557506171
9244200462072
1078345309305
113025398050a
12132258287b5
1375073908b3
143b130c97bb
1520880b9ea5
hex123dbe8c79

78345309305 has 8 divisors (see below), whose sum is σ = 94645341000. Its totient is φ = 62255600896.

The previous prime is 78345309293. The next prime is 78345309337. The reversal of 78345309305 is 50390354387.

It can be written as a sum of positive squares in 4 ways, for example, as 12477113401 + 65868195904 = 111701^2 + 256648^2 .

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 78345309305 - 210 = 78345308281 is a prime.

It is a super-3 number, since 3×783453093053 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 78345309305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52580000 + ... + 52581489.

It is an arithmetic number, because the mean of its divisors is an integer number (11830667625).

Almost surely, 278345309305 is an apocalyptic number.

It is an amenable number.

78345309305 is a deficient number, since it is larger than the sum of its proper divisors (16300031695).

78345309305 is a wasteful number, since it uses less digits than its factorization.

78345309305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105161643.

The product of its (nonzero) digits is 1360800, while the sum is 47.

The spelling of 78345309305 in words is "seventy-eight billion, three hundred forty-five million, three hundred nine thousand, three hundred five".

Divisors: 1 5 149 745 105161489 525807445 15669061861 78345309305