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338680772794 = 272131619316417
BaseRepresentation
bin1001110110110101111…
…00100111100010111010
31012101012020121212201201
410323122330213202322
521022104234212134
6415330544204414
733316553032600
oct4733274474272
91171166555651
10338680772794
111206a7515421
125577b60970a
1325c257a3750
141256c425870
158c23458914
hex4edaf278ba

338680772794 has 48 divisors (see below), whose sum is σ = 636500182248. Its totient is φ = 133967167488.

The previous prime is 338680772791. The next prime is 338680772797. The reversal of 338680772794 is 497277086833.

It is an interprime number because it is at equal distance from previous prime (338680772791) and next prime (338680772797).

It can be written as a sum of positive squares in 4 ways, for example, as 290075956569 + 48604816225 = 538587^2 + 220465^2 .

It is a super-2 number, since 2×3386807727942 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338680772791) 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 23 ways as a sum of consecutive naturals, for example, 20621674 + ... + 20638090.

Almost surely, 2338680772794 is an apocalyptic number.

338680772794 is a deficient number, since it is larger than the sum of its proper divisors (297819409454).

338680772794 is a wasteful number, since it uses less digits than its factorization.

338680772794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32639 (or 32632 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 64.

The spelling of 338680772794 in words is "three hundred thirty-eight billion, six hundred eighty million, seven hundred seventy-two thousand, seven hundred ninety-four".

Divisors: 1 2 7 13 14 26 49 91 98 182 637 1274 16193 16417 32386 32834 113351 114919 210509 213421 226702 229838 421018 426842 793457 804433 1473563 1493947 1586914 1608866 2947126 2987894 10314941 10457629 20629882 20915258 265840481 531680962 1860883367 3455926253 3721766734 6911852506 13026183569 24191483771 26052367138 48382967542 169340386397 338680772794