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10766000066 = 214956963493
BaseRepresentation
bin10100000011011010…
…00001111111000010
31000210022010110200012
422001231001333002
5134022044000231
64540144424522
7530535330203
oct120155017702
930708113605
1010766000066
114625143218
122105618142
1310275c7853
14741b9b5aa
1543026ae2b
hex281b41fc2

10766000066 has 16 divisors (see below), whose sum is σ = 16286211000. Its totient is φ = 5337391488.

The previous prime is 10766000053. The next prime is 10766000143. The reversal of 10766000066 is 66000066701.

It can be written as a sum of positive squares in 4 ways, for example, as 2215114225 + 8550885841 = 47065^2 + 92471^2 .

It is a super-2 number, since 2×107660000662 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10765999996 and 10766000041.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137816 + ... + 201308.

Almost surely, 210766000066 is an apocalyptic number.

10766000066 is a deficient number, since it is larger than the sum of its proper divisors (5520210934).

10766000066 is a wasteful number, since it uses less digits than its factorization.

10766000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64213.

The product of its (nonzero) digits is 9072, while the sum is 32.

Adding to 10766000066 its reverse (66000066701), we get a palindrome (76766066767).

The spelling of 10766000066 in words is "ten billion, seven hundred sixty-six million, sixty-six", and thus it is an aban number.

Divisors: 1 2 149 298 569 1138 63493 84781 126986 169562 9460457 18920914 36127517 72255034 5383000033 10766000066