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1066056006 = 234127115991
BaseRepresentation
bin111111100010101…
…011100101000110
32202021222020220210
4333202223211012
54140402243011
6253441140250
735263220001
oct7742534506
92667866823
101066056006
114a7840724
1225902a686
1313cb27792
14a1824538
15638cd6a6
hex3f8ab946

1066056006 has 32 divisors (see below), whose sum is σ = 2192311296. Its totient is φ = 345384000.

The previous prime is 1066055999. The next prime is 1066056041. The reversal of 1066056006 is 6006506601.

It is a super-2 number, since 2×10660560062 = 2272950815857344072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58671 + ... + 74661.

It is an arithmetic number, because the mean of its divisors is an integer number (68509728).

Almost surely, 21066056006 is an apocalyptic number.

1066056006 is an abundant number, since it is smaller than the sum of its proper divisors (1126255290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1066056006 is a wasteful number, since it uses less digits than its factorization.

1066056006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16308.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1066056006 is about 32650.5131046971. The cubic root of 1066056006 is about 1021.5508913756.

It can be divided in two parts, 10660 and 56006, that added together give a palindrome (66666).

The spelling of 1066056006 in words is "one billion, sixty-six million, fifty-six thousand, six".

Divisors: 1 2 3 6 41 82 123 246 271 542 813 1626 11111 15991 22222 31982 33333 47973 66666 95946 655631 1311262 1966893 3933786 4333561 8667122 13000683 26001366 177676001 355352002 533028003 1066056006