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34163664473401 is a prime number
BaseRepresentation
bin1111100010010010110010…
…00101011100110100111001
311110222000101111222010220021
413301021121011130310321
513434214141101122101
6200354323142530441
710124146311435421
oct761113105346471
9143860344863807
1034163664473401
11a981801a4a9a1
1239b9192136a21
13160a809739848
1486175cb73481
153e3a1e2bb5a1
hex1f125915cd39

34163664473401 has 2 divisors, whose sum is σ = 34163664473402. Its totient is φ = 34163664473400.

The previous prime is 34163664473383. The next prime is 34163664473413. The reversal of 34163664473401 is 10437446636143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29728011475600 + 4435652997801 = 5452340^2 + 2106099^2 .

It is a cyclic number.

It is not a de Polignac number, because 34163664473401 - 211 = 34163664471353 is a prime.

It is a super-2 number, since 2×341636644734012 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34163664470401) 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 as a sum of consecutive naturals, namely, 17081832236700 + 17081832236701.

It is an arithmetic number, because the mean of its divisors is an integer number (17081832236701).

Almost surely, 234163664473401 is an apocalyptic number.

It is an amenable number.

34163664473401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34163664473401 is an equidigital number, since it uses as much as digits as its factorization.

34163664473401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10450944, while the sum is 52.

The spelling of 34163664473401 in words is "thirty-four trillion, one hundred sixty-three billion, six hundred sixty-four million, four hundred seventy-three thousand, four hundred one".