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1066106879 = 231631991429
BaseRepresentation
bin111111100010110…
…111111111111111
32202022001211200222
4333202313333333
54140410410004
6253442211555
735263521215
oct7742677777
92668054628
101066106879
114a7875972
12259053bbb
1313cb44996
14a1838cb5
15638dd7be
hex3f8b7fff

1066106879 has 16 divisors (see below), whose sum is σ = 1125696000. Its totient is φ = 1007699616.

The previous prime is 1066106861. The next prime is 1066106911. The reversal of 1066106879 is 9786016601.

It is a cyclic number.

It is not a de Polignac number, because 1066106879 - 28 = 1066106623 is a prime.

It is a super-3 number, since 3×10661068793 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066106809) 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, 745337 + ... + 746765.

It is an arithmetic number, because the mean of its divisors is an integer number (70356000).

Almost surely, 21066106879 is an apocalyptic number.

1066106879 is a deficient number, since it is larger than the sum of its proper divisors (59589121).

1066106879 is a wasteful number, since it uses less digits than its factorization.

1066106879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814.

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 1066106879 is about 32651.2921490100. The cubic root of 1066106879 is about 1021.5671408446.

The spelling of 1066106879 in words is "one billion, sixty-six million, one hundred six thousand, eight hundred seventy-nine".

Divisors: 1 23 163 199 1429 3749 4577 32437 32867 232927 284371 746051 5357321 6540533 46352473 1066106879