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1066606051017 = 31331882221713
BaseRepresentation
bin11111000010101101010…
…11001011111011001001
310202222002121110101121110
433201112223023323021
5114433402122113032
62133554141200533
7140026330562463
oct17412653137311
93688077411543
101066606051017
11381388344951
12152870260149
1379771528650
14398a43c9133
151cb28e177cc
hexf856acbec9

1066606051017 has 16 divisors (see below), whose sum is σ = 1580941311488. Its totient is φ = 635199632640.

The previous prime is 1066606051003. The next prime is 1066606051031. The reversal of 1066606051017 is 7101506066601.

It is an interprime number because it is at equal distance from previous prime (1066606051003) and next prime (1066606051031).

It is a de Polignac number, because none of the positive numbers 2k-1066606051017 is a prime.

It is a super-2 number, since 2×10666060510172 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1066606051067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441109648 + ... + 441112065.

It is an arithmetic number, because the mean of its divisors is an integer number (98808831968).

Almost surely, 21066606051017 is an apocalyptic number.

It is an amenable number.

1066606051017 is a deficient number, since it is larger than the sum of its proper divisors (514335260471).

1066606051017 is a wasteful number, since it uses less digits than its factorization.

1066606051017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882221760.

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 1066606051017 in words is "one trillion, sixty-six billion, six hundred six million, fifty-one thousand, seventeen".

Divisors: 1 3 13 31 39 93 403 1209 882221713 2646665139 11468882269 27348873103 34406646807 82046619309 355535350339 1066606051017