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34378456975 = 5217529715271
BaseRepresentation
bin100000000001000111…
…011001111110001111
310021201220010120012021
4200001013121332033
51030401341110400
623443201351011
72324634030352
oct400107317617
9107656116167
1034378456975
1113641819615
1267b5338467
13331b524545
141941b56299
15d6320971a
hex8011d9f8f

34378456975 has 24 divisors (see below), whose sum is σ = 45148369248. Its totient is φ = 25878374400.

The previous prime is 34378456927. The next prime is 34378456997. The reversal of 34378456975 is 57965487343.

It is a happy number.

It is not a de Polignac number, because 34378456975 - 217 = 34378325903 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2243590 + ... + 2258860.

It is an arithmetic number, because the mean of its divisors is an integer number (1881182052).

Almost surely, 234378456975 is an apocalyptic number.

34378456975 is a deficient number, since it is larger than the sum of its proper divisors (10769912273).

34378456975 is a wasteful number, since it uses less digits than its factorization.

34378456975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20595 (or 20590 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 61.

The spelling of 34378456975 in words is "thirty-four billion, three hundred seventy-eight million, four hundred fifty-six thousand, nine hundred seventy-five".

Divisors: 1 5 17 25 85 425 5297 15271 26485 76355 90049 132425 259607 381775 450245 1298035 2251225 6490175 80890487 404452435 1375138279 2022262175 6875691395 34378456975