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34868900505339 = 331346995882453
BaseRepresentation
bin1111110110110100011000…
…11011011010011011111011
311120110102201121222112011000
413323122030123122123323
514032243002012132324
6202054315102340043
710226123601004245
oct773321433323373
9146412647875130
1034868900505339
11101238aa33990a
123ab19b028a623
13165c17a8c7024
1488794161b095
15407047da09c9
hex1fb68c6da6fb

34868900505339 has 16 divisors (see below), whose sum is σ = 51661466215200. Its totient is φ = 23244207543648.

The previous prime is 34868900505319. The next prime is 34868900505343. The reversal of 34868900505339 is 93350500986843.

34868900505339 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 8 + 90 + 0 + 5 + 0 + 533 + 9 = 666.

It is not a de Polignac number, because 34868900505339 - 216 = 34868900439803 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34868900505319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47577564 + ... + 48304889.

It is an arithmetic number, because the mean of its divisors is an integer number (3228841638450).

Almost surely, 234868900505339 is an apocalyptic number.

34868900505339 is a deficient number, since it is larger than the sum of its proper divisors (16792565709861).

34868900505339 is a wasteful number, since it uses less digits than its factorization.

34868900505339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95895931 (or 95895925 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 34868900505339 in words is "thirty-four trillion, eight hundred sixty-eight billion, nine hundred million, five hundred five thousand, three hundred thirty-nine".

Divisors: 1 3 9 27 13469 40407 121221 363663 95882453 287647359 862942077 2588826231 1291440759457 3874322278371 11622966835113 34868900505339