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1066866908445 = 3251324117214397
BaseRepresentation
bin11111000011001100011…
…10010001110100011101
310202222202210022022201200
433201212032101310131
5114434420412032240
62134040100230113
7140035646044662
oct17414616216435
93688683268650
101066866908445
113815016139a8
1215292369b339
13797b359cc60
14398caccda69
151cb41c93930
hexf866391d1d

1066866908445 has 96 divisors (see below), whose sum is σ = 2001365349984. Its totient is φ = 522624614400.

The previous prime is 1066866908441. The next prime is 1066866908449. The reversal of 1066866908445 is 5448096686601.

1066866908445 is a `hidden beast` number, since 106 + 6 + 86 + 6 + 9 + 0 + 8 + 445 = 666.

It is an interprime number because it is at equal distance from previous prime (1066866908441) and next prime (1066866908449).

It can be written as a sum of positive squares in 16 ways, for example, as 171651947481 + 895214960964 = 414309^2 + 946158^2 .

It is not a de Polignac number, because 1066866908445 - 22 = 1066866908441 is a prime.

It is a super-2 number, since 2×10668669084452 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066866908441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242632987 + ... + 242637383.

It is an arithmetic number, because the mean of its divisors is an integer number (20847555729).

Almost surely, 21066866908445 is an apocalyptic number.

1066866908445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1066866908445 is a deficient number, since it is larger than the sum of its proper divisors (934498441539).

1066866908445 is a wasteful number, since it uses less digits than its factorization.

1066866908445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 1066866908445 in words is "one trillion, sixty-six billion, eight hundred sixty-six million, nine hundred eight thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 241 585 723 1205 1721 2169 3133 3615 4397 5163 8605 9399 10845 13191 15489 15665 21985 22373 25815 28197 39573 46995 57161 65955 67119 77445 111865 140985 171483 197865 201357 285805 335595 414761 514449 857415 1006785 1059677 1244283 2073805 2572245 3179031 3732849 5298385 5391893 6221415 7567237 9537093 13775801 15895155 16175679 18664245 22701711 26959465 37836185 41327403 47685465 48527037 68105133 68879005 80878395 98374081 113508555 123982209 206637015 242635185 295122243 340525665 491870405 619911045 885366729 1475611215 1823704117 4426833645 5471112351 9118520585 16413337053 23708153521 27355561755 71124460563 82066685265 118540767605 213373381689 355622302815 1066866908445