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34166346013 = 61853765609
BaseRepresentation
bin11111110100011110…
…010001000100011101
310021012010000012122201
4133310132101010131
51024433041033023
623410143211501
72316450102142
oct376436210435
9107163005581
1034166346013
11135430144a8
1267562a6b91
1332b65b98b7
1419219003c9
15d4e7abbad
hex7f479111d

34166346013 has 8 divisors (see below), whose sum is σ = 34731047160. Its totient is φ = 33601793280.

The previous prime is 34166346007. The next prime is 34166346017. The reversal of 34166346013 is 31064366143.

It can be written as a sum of positive squares in 4 ways, for example, as 9188756164 + 24977589849 = 95858^2 + 158043^2 .

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 34166346013 - 29 = 34166345501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34166346017) 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, 487953 + ... + 553561.

It is an arithmetic number, because the mean of its divisors is an integer number (4341380895).

Almost surely, 234166346013 is an apocalyptic number.

It is an amenable number.

34166346013 is a deficient number, since it is larger than the sum of its proper divisors (564701147).

34166346013 is an equidigital number, since it uses as much as digits as its factorization.

34166346013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74207.

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 34166346013 in words is "thirty-four billion, one hundred sixty-six million, three hundred forty-six thousand, thirteen".

Divisors: 1 61 8537 65609 520757 4002149 560104033 34166346013