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1066027213017 = 33133037114567
BaseRepresentation
bin11111000001101000010…
…11000110000011011001
310202220121021021101011000
433200310023012003121
5114431210431304032
62133420502455213
7140006101542234
oct17406413060331
93686537241130
101066027213017
11381110630338
1215272a434509
13796ab62c060
143984b59041b
151cae31c9e7c
hexf8342c60d9

1066027213017 has 16 divisors (see below), whose sum is σ = 1700784158080. Its totient is φ = 656016746256.

The previous prime is 1066027212983. The next prime is 1066027213051. The reversal of 1066027213017 is 7103127206601.

It is a happy number.

1066027213017 is a `hidden beast` number, since 1 + 0 + 6 + 602 + 7 + 2 + 1 + 30 + 17 = 666.

It is an interprime number because it is at equal distance from previous prime (1066027212983) and next prime (1066027213051).

It is not a de Polignac number, because 1066027213017 - 219 = 1066026688729 is a prime.

It is a super-2 number, since 2×10660272130172 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1066027213067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518556933 + ... + 1518557634.

It is an arithmetic number, because the mean of its divisors is an integer number (106299009880).

Almost surely, 21066027213017 is an apocalyptic number.

It is an amenable number.

1066027213017 is a deficient number, since it is larger than the sum of its proper divisors (634756945063).

1066027213017 is a wasteful number, since it uses less digits than its factorization.

1066027213017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037114589 (or 3037114583 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

It can be divided in two parts, 10660272 and 13017, that added together give a square (10673289 = 32672).

The spelling of 1066027213017 in words is "one trillion, sixty-six billion, twenty-seven million, two hundred thirteen thousand, seventeen".

Divisors: 1 3 9 13 27 39 117 351 3037114567 9111343701 27334031103 39482489371 82002093309 118447468113 355342404339 1066027213017