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1066146012 = 2232199716069
BaseRepresentation
bin111111100011000…
…001100011011100
32202022010211101100
4333203001203130
54140413133022
6253443113100
735264043261
oct7743014334
92668124340
101066146012
114a78a2308
12259072790
1313cb59739
14a1849268
15638ea1ac
hex3f8c18dc

1066146012 has 72 divisors (see below), whose sum is σ = 2866245200. Its totient is φ = 333186048.

The previous prime is 1066145987. The next prime is 1066146013. The reversal of 1066146012 is 2106416601.

It is a super-2 number, since 2×10661460122 = 2273334637807008288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066146013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58314 + ... + 74382.

Almost surely, 21066146012 is an apocalyptic number.

1066146012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066146012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433122600).

1066146012 is an abundant number, since it is smaller than the sum of its proper divisors (1800099188).

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

1066146012 is a wasteful number, since it uses less digits than its factorization.

1066146012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16195 (or 16190 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1066146012 is about 32651.8914000399. The cubic root of 1066146012 is about 1021.5796400597.

The spelling of 1066146012 in words is "one billion, sixty-six million, one hundred forty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 97 114 171 194 228 291 342 388 582 684 873 1164 1746 1843 3492 3686 5529 7372 11058 16069 16587 22116 32138 33174 48207 64276 66348 96414 144621 192828 289242 305311 578484 610622 915933 1221244 1558693 1831866 2747799 3117386 3663732 4676079 5495598 6234772 9352158 10991196 14028237 18704316 28056474 29615167 56112948 59230334 88845501 118460668 177691002 266536503 355382004 533073006 1066146012