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2682006173 = 711172048897
BaseRepresentation
bin1001111111011100…
…0010101010011101
320220220200000210222
42133313002222131
520443043144143
61122044411125
7123314450660
oct23767025235
96826600728
102682006173
111156a16a30
1262a246aa5
13339856502
141b62ab6d7
1510a6cd768
hex9fdc2a9d

2682006173 has 16 divisors (see below), whose sum is σ = 3540495744. Its totient is φ = 1966940160.

The previous prime is 2682006169. The next prime is 2682006221. The reversal of 2682006173 is 3716002862.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2682006173 - 22 = 2682006169 is a prime.

It is a super-3 number, since 3×26820061733 (a number of 29 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682006113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023140 + ... + 1025757.

It is an arithmetic number, because the mean of its divisors is an integer number (221280984).

Almost surely, 22682006173 is an apocalyptic number.

It is an amenable number.

2682006173 is a deficient number, since it is larger than the sum of its proper divisors (858489571).

2682006173 is a wasteful number, since it uses less digits than its factorization.

2682006173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048932.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 2682006173 is about 51788.0891035767. The cubic root of 2682006173 is about 1389.3764214649.

The spelling of 2682006173 in words is "two billion, six hundred eighty-two million, six thousand, one hundred seventy-three".

Divisors: 1 7 11 17 77 119 187 1309 2048897 14342279 22537867 34831249 157765069 243818743 383143739 2682006173