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34456665399 = 3133723878493
BaseRepresentation
bin100000000101110001…
…101111110100110111
310021221100021221222120
4200011301233310313
51031031401243044
623455033531023
72326603552302
oct400561576467
9107840257876
1034456665399
1113681986782
126817573a73
1333317a8310
14194c2b3b39
15d6a007519
hex805c6fd37

34456665399 has 16 divisors (see below), whose sum is σ = 50813435232. Its totient is φ = 20631017088.

The previous prime is 34456665391. The next prime is 34456665413. The reversal of 34456665399 is 99356665443.

It is not a de Polignac number, because 34456665399 - 23 = 34456665391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34456665391) 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 15 ways as a sum of consecutive naturals, for example, 11937804 + ... + 11940689.

It is an arithmetic number, because the mean of its divisors is an integer number (3175839702).

Almost surely, 234456665399 is an apocalyptic number.

34456665399 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

34456665399 is a deficient number, since it is larger than the sum of its proper divisors (16356769833).

34456665399 is a wasteful number, since it uses less digits than its factorization.

34456665399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23878546.

The product of its digits is 62985600, while the sum is 60.

It can be divided in two parts, 344566 and 65399, that added together give a triangular number (409965 = T905).

The spelling of 34456665399 in words is "thirty-four billion, four hundred fifty-six million, six hundred sixty-five thousand, three hundred ninety-nine".

Divisors: 1 3 13 37 39 111 481 1443 23878493 71635479 310420409 883504241 931261227 2650512723 11485555133 34456665399