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1066016960067 = 3193710112773919
BaseRepresentation
bin11111000001100111000…
…11111110111001000011
310202220120112222110202010
433200303203332321003
5114431200320210232
62133415455024003
7140005615440243
oct17406343767103
93686515873663
101066016960067
11381105868124
12152726b0b003
13796a947c317
143984a081b23
151cae23520cc
hexf8338fee43

1066016960067 has 64 divisors (see below), whose sum is σ = 1553426380800. Its totient is φ = 647918092800.

The previous prime is 1066016960053. The next prime is 1066016960089. The reversal of 1066016960067 is 7600696106601.

It is not a de Polignac number, because 1066016960067 - 210 = 1066016959043 is a prime.

It is a super-2 number, since 2×10660169600672 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066016959998 and 1066016960025.

It is not an unprimeable number, because it can be changed into a prime (1066016950067) 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 63 ways as a sum of consecutive naturals, for example, 272010534 + ... + 272014452.

It is an arithmetic number, because the mean of its divisors is an integer number (24272287200).

Almost surely, 21066016960067 is an apocalyptic number.

1066016960067 is a deficient number, since it is larger than the sum of its proper divisors (487409420733).

1066016960067 is a wasteful number, since it uses less digits than its factorization.

1066016960067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356.

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 1066016960067 in words is "one trillion, sixty-six billion, sixteen million, nine hundred sixty thousand, sixty-seven".

Divisors: 1 3 19 37 57 101 111 303 703 1277 1919 2109 3737 3831 3919 5757 11211 11757 24263 47249 71003 72789 74461 128977 141747 145003 213009 223383 386931 395819 435009 897731 1187457 2450563 2693193 2755057 4772149 5004563 7351689 7520561 8265171 14316447 14645303 15013689 22561683 43935909 90670831 95086697 185168831 272012493 278260757 285260091 505460863 555506493 834782271 1516382589 3518207789 9603756397 10554623367 18702051931 28811269191 56106155793 355338986689 1066016960067