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1066444326117 = 321947376135281
BaseRepresentation
bin11111000010011010000…
…10010000010011100101
310202221200100010220202100
433201031002100103211
5114433034221413432
62133530123002313
7140022325130352
oct17411502202345
93687610126670
101066444326117
11381305024605
12152826069399
1379746b82a41
143988ab2b629
151cb19b1e07c
hexf84d0904e5

1066444326117 has 48 divisors (see below), whose sum is σ = 1656481432320. Its totient is φ = 659019110400.

The previous prime is 1066444326113. The next prime is 1066444326197. The reversal of 1066444326117 is 7116234446601.

1066444326117 is a `hidden beast` number, since 1 + 0 + 66 + 44 + 432 + 6 + 117 = 666.

It is not a de Polignac number, because 1066444326117 - 22 = 1066444326113 is a prime.

It is a super-2 number, since 2×10664443261172 (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 (1066444326113) 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 47 ways as a sum of consecutive naturals, for example, 30209517 + ... + 30244797.

It is an arithmetic number, because the mean of its divisors is an integer number (34510029840).

Almost surely, 21066444326117 is an apocalyptic number.

It is an amenable number.

1066444326117 is a deficient number, since it is larger than the sum of its proper divisors (590037106203).

1066444326117 is a wasteful number, since it uses less digits than its factorization.

1066444326117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39114 (or 39111 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1066444326117 in words is "one trillion, sixty-six billion, four hundred forty-four million, three hundred twenty-six thousand, one hundred seventeen".

Divisors: 1 3 9 19 47 57 141 171 423 893 2679 3761 8037 11283 33849 35281 71459 105843 176767 214377 317529 530301 643131 670339 1590903 1658207 2011017 3358573 4974621 6033051 10075719 14923863 30227157 31505933 94517799 132691841 283553397 398075523 1194226569 2521144979 6236516527 7563434937 18709549581 22690304811 56128648743 118493814013 355481442039 1066444326117