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34363666636343 = 11172181574310399
BaseRepresentation
bin1111101000000111010100…
…01001001001111000110111
311111200010122000022201101122
413310003222021021320313
514001003242124330333
6201030241151214155
710144456456661402
oct764035211117067
9144603560281348
1034363666636343
11aa49604a59150
123a2baaa51735b
131623631335365
1486b2d3258d39
153e8d27a1b798
hex1f40ea249e37

34363666636343 has 48 divisors (see below), whose sum is σ = 40053343948800. Its totient is φ = 29231722713600.

The previous prime is 34363666636153. The next prime is 34363666636361.

It is a happy number.

34363666636343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34363666636343 - 212 = 34363666632247 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 (34363666630343) 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 47 ways as a sum of consecutive naturals, for example, 3304511258 + ... + 3304521656.

It is an arithmetic number, because the mean of its divisors is an integer number (834444665600).

Almost surely, 234363666636343 is an apocalyptic number.

34363666636343 is a deficient number, since it is larger than the sum of its proper divisors (5689677312457).

34363666636343 is a wasteful number, since it uses less digits than its factorization.

34363666636343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16368 (or 16351 counting only the distinct ones).

The product of its digits is 544195584, while the sum is 62.

The spelling of 34363666636343 in words is "thirty-four trillion, three hundred sixty-three billion, six hundred sixty-six million, six hundred thirty-six thousand, three hundred forty-three".

Divisors: 1 11 17 181 187 289 1991 3077 3179 5743 10399 33847 52309 63173 97631 114389 176783 575399 1039483 1073941 1659727 1882219 1944613 3005311 11434313 17671211 18256997 20704409 31997723 33058421 59721457 194383321 300410587 351974953 543961291 656936027 1015264769 3304516457 5983574201 10809583717 11167912459 17259501073 118905420887 183762923189 189854511803 2021392155079 3123969694213 34363666636343