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556066225666231 = 7211348290319719
BaseRepresentation
bin111111001101111010100000…
…1110110100011100010110111
32200220212102010100112212202121
41332123311001312203202313
51040341042112232304411
65250353144132020411
7225061313310106300
oct17633650166434267
92626772110485677
10556066225666231
111511a83a8854575
1252449439a61707
131ab37a879421b7
149b45a6b0997a7
15444485a5aa571
hex1f9bd41da38b7

556066225666231 has 6 divisors (see below), whose sum is σ = 646852548224040. Its totient is φ = 476628193428156.

The previous prime is 556066225666177. The next prime is 556066225666241. The reversal of 556066225666231 is 132666522660655.

It is a happy number.

It is not a de Polignac number, because 556066225666231 - 219 = 556066225141943 is a prime.

It is a super-3 number, since 3×5560662256662313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 556066225666231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556066225666241) 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 5 ways as a sum of consecutive naturals, for example, 5674145159811 + ... + 5674145159908.

It is an arithmetic number, because the mean of its divisors is an integer number (107808758037340).

Almost surely, 2556066225666231 is an apocalyptic number.

556066225666231 is a deficient number, since it is larger than the sum of its proper divisors (90786322557809).

556066225666231 is a wasteful number, since it uses less digits than its factorization.

556066225666231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348290319733 (or 11348290319726 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 61.

The spelling of 556066225666231 in words is "five hundred fifty-six trillion, sixty-six billion, two hundred twenty-five million, six hundred sixty-six thousand, two hundred thirty-one".

Divisors: 1 7 49 11348290319719 79438032238033 556066225666231