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406445006061 = 347696525149
BaseRepresentation
bin1011110101000100000…
…00101001110011101101
31102212002211222121020000
411322202000221303231
523124344410143221
6510415051014513
741236041356103
oct5724200516355
91385084877200
10406445006061
11147410678896
126693173a439
132c4349759b3
141595a12dc73
15a88c634e26
hex5ea2029ced

406445006061 has 20 divisors (see below), whose sum is σ = 607948225500. Its totient is φ = 270610937856.

The previous prime is 406445005973. The next prime is 406445006101. The reversal of 406445006061 is 160600544604.

406445006061 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 45 + 0 + 0 + 606 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 261279434025 + 145165572036 = 511155^2 + 381006^2 .

It is not a de Polignac number, because 406445006061 - 27 = 406445005933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406445006861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3200286 + ... + 3324863.

It is an arithmetic number, because the mean of its divisors is an integer number (30397411275).

Almost surely, 2406445006061 is an apocalyptic number.

It is an amenable number.

406445006061 is a deficient number, since it is larger than the sum of its proper divisors (201503219439).

406445006061 is an equidigital number, since it uses as much as digits as its factorization.

406445006061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6525930 (or 6525921 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 406445006061 in words is "four hundred six billion, four hundred forty-five million, six thousand, sixty-one".

Divisors: 1 3 9 27 81 769 2307 6921 20763 62289 6525149 19575447 58726341 176179023 528537069 5017839581 15053518743 45160556229 135481668687 406445006061