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1066917418407 = 3378007506563
BaseRepresentation
bin11111000011010010011…
…10111101010110100111
310202222220022100111101000
433201221032331112213
5114440021324342112
62134045103004343
7140040131265231
oct17415116752647
93688808314330
101066917418407
11381528082875
121529385996b3
13797c0ba64c9
14398d38bb251
151cb4641e7dc
hexf8693bd5a7

1066917418407 has 16 divisors (see below), whose sum is σ = 1580641780480. Its totient is φ = 711267756696.

The previous prime is 1066917418367. The next prime is 1066917418417. The reversal of 1066917418407 is 7048147196601.

1066917418407 is a `hidden beast` number, since 1 + 0 + 6 + 69 + 174 + 1 + 8 + 407 = 666.

It is not a de Polignac number, because 1066917418407 - 235 = 1032557680039 is a prime.

It is a super-2 number, since 2×10669174184072 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066917418417) 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, 1852908 + ... + 2359470.

It is an arithmetic number, because the mean of its divisors is an integer number (98790111280).

Almost surely, 21066917418407 is an apocalyptic number.

1066917418407 is a deficient number, since it is larger than the sum of its proper divisors (513724362073).

1066917418407 is an equidigital number, since it uses as much as digits as its factorization.

1066917418407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584579 (or 584573 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1066917418407 in words is "one trillion, sixty-six billion, nine hundred seventeen million, four hundred eighteen thousand, four hundred seven".

Divisors: 1 3 9 27 78007 234021 506563 702063 1519689 2106189 4559067 13677201 39515459941 118546379823 355639139469 1066917418407