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1066166505 = 32523692589
BaseRepresentation
bin111111100011000…
…110100011101001
32202022011212111100
4333203012203221
54140414312010
6253443352013
735264160105
oct7743064351
92668155440
101066166505
114a7906748
12259082609
1313cb65b71
14a1852905
15639012c0
hex3f8c68e9

1066166505 has 12 divisors (see below), whose sum is σ = 1848022020. Its totient is φ = 568622112.

The previous prime is 1066166503. The next prime is 1066166567. The reversal of 1066166505 is 5056616601.

It can be written as a sum of positive squares in 2 ways, for example, as 840536064 + 225630441 = 28992^2 + 15021^2 .

It is not a de Polignac number, because 1066166505 - 21 = 1066166503 is a prime.

It is a super-2 number, since 2×10661665052 = 2273422032767830050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066166505.

It is not an unprimeable number, because it can be changed into a prime (1066166503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11846250 + ... + 11846339.

It is an arithmetic number, because the mean of its divisors is an integer number (154001835).

Almost surely, 21066166505 is an apocalyptic number.

1066166505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1066166505 is a deficient number, since it is larger than the sum of its proper divisors (781855515).

1066166505 is a wasteful number, since it uses less digits than its factorization.

1066166505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23692600 (or 23692597 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1066166505 is about 32652.2052088370. The cubic root of 1066166505 is about 1021.5861854726.

The spelling of 1066166505 in words is "one billion, sixty-six million, one hundred sixty-six thousand, five hundred five".

Divisors: 1 3 5 9 15 45 23692589 71077767 118462945 213233301 355388835 1066166505