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13205064327 = 3713317919751
BaseRepresentation
bin11000100110001010…
…10100101010000111
31021002021122202211120
430103011110222013
5204020444024302
610022154205023
7645143123550
oct142305245207
937067582746
1013205064327
115666a07304
122686423773
131325a10140
148d3aa9327
1552445b9bc
hex313154a87

13205064327 has 64 divisors (see below), whose sum is σ = 22653173760. Its totient is φ = 6654960000.

The previous prime is 13205064319. The next prime is 13205064337. The reversal of 13205064327 is 72346050231.

It is not a de Polignac number, because 13205064327 - 23 = 13205064319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205064337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658702 + ... + 678452.

It is an arithmetic number, because the mean of its divisors is an integer number (353955840).

Almost surely, 213205064327 is an apocalyptic number.

13205064327 is a deficient number, since it is larger than the sum of its proper divisors (9448109433).

13205064327 is a wasteful number, since it uses less digits than its factorization.

13205064327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19884.

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 13205064327 in words is "thirteen billion, two hundred five million, sixty-four thousand, three hundred twenty-seven".

Divisors: 1 3 7 13 21 31 39 79 91 93 217 237 273 403 553 651 1027 1209 1659 2449 2821 3081 7189 7347 8463 17143 19751 21567 31837 51429 59253 95511 138257 222859 256763 414771 612281 668577 770289 1560329 1797341 1836843 4285967 4680987 5392023 7959653 10922303 12857901 20284277 23878959 32766909 48370199 55717571 60852831 141989939 145110597 167152713 338591393 425969817 628812587 1015774179 1886437761 4401688109 13205064327