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47027608217 = 611741442817
BaseRepresentation
bin101011110011000100…
…000101101010011001
311111101102202000122022
4223303010011222121
51232303031430332
633334300504225
73253250034332
oct536304055231
9144342660568
1047027608217
1118a4294a117
12914554b075
134586003915
1423c1a73289
151353956212
hexaf3105a99

47027608217 has 8 divisors (see below), whose sum is σ = 47826115272. Its totient is φ = 46229990400.

The previous prime is 47027608193. The next prime is 47027608291. The reversal of 47027608217 is 71280672074.

It can be written as a sum of positive squares in 4 ways, for example, as 6875063056 + 40152545161 = 82916^2 + 200381^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 47027608217 - 224 = 47010831001 is a prime.

It is a super-3 number, since 3×470276082173 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47027608297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115208 + ... + 327609.

It is an arithmetic number, because the mean of its divisors is an integer number (5978264409).

Almost surely, 247027608217 is an apocalyptic number.

It is an amenable number.

47027608217 is a deficient number, since it is larger than the sum of its proper divisors (798507055).

47027608217 is a wasteful number, since it uses less digits than its factorization.

47027608217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444619.

The product of its (nonzero) digits is 263424, while the sum is 44.

The spelling of 47027608217 in words is "forty-seven billion, twenty-seven million, six hundred eight thousand, two hundred seventeen".

Divisors: 1 61 1741 106201 442817 27011837 770944397 47027608217