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348978606879843 = 32149928328033781
BaseRepresentation
bin100111101011001001110100…
…1111001011011010001100011
31200202122000210010202022200100
41033112103221321123101203
5331220131141330123333
63234114320410153443
7133335605130015363
oct11726235171332143
91622560703668610
10348978606879843
11a1216aa5803926
1233182485422883
1311c95706674485
1462269246b09a3
152a52b03a55213
hex13d64e9e5b463

348978606879843 has 24 divisors (see below), whose sum is σ = 507517982571600. Its totient is φ = 231066076812480.

The previous prime is 348978606879839. The next prime is 348978606879857.

It is a happy number.

348978606879843 is a `hidden beast` number, since 3 + 489 + 7 + 8 + 6 + 0 + 6 + 87 + 9 + 8 + 43 = 666.

348978606879843 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 348978606879843 - 22 = 348978606879839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (348978606879823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1568388 + ... + 26465393.

It is an arithmetic number, because the mean of its divisors is an integer number (21146582607150).

Almost surely, 2348978606879843 is an apocalyptic number.

348978606879843 is a deficient number, since it is larger than the sum of its proper divisors (158539375691757).

348978606879843 is a wasteful number, since it uses less digits than its factorization.

348978606879843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28043219 (or 28043216 counting only the distinct ones).

The product of its (nonzero) digits is 84276412416, while the sum is 90.

The spelling of 348978606879843 in words is "three hundred forty-eight trillion, nine hundred seventy-eight billion, six hundred six million, eight hundred seventy-nine thousand, eight hundred forty-three".

Divisors: 1 3 9 149 447 1341 9283 27849 83547 1383167 4149501 12448503 28033781 84101343 252304029 4177033369 12531100107 37593300321 260237589023 780712767069 2342138301207 38775400764427 116326202293281 348978606879843