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1066134016 = 296731079
BaseRepresentation
bin111111100010111…
…110101000000000
32202022010012221001
4333202332220000
54140412242031
6253442541344
735263663303
oct7742765000
92668105831
101066134016
114a78942a2
12259067854
1313cb5413c
14a1844b3a
15638e6861
hex3f8bea00

1066134016 has 40 divisors (see below), whose sum is σ = 2162049120. Its totient is φ = 525093888.

The previous prime is 1066134007. The next prime is 1066134049. The reversal of 1066134016 is 6104316601.

1066134016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10661340162 = 2273283480144576512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18765 + ... + 49843.

It is an arithmetic number, because the mean of its divisors is an integer number (54051228).

Almost surely, 21066134016 is an apocalyptic number.

1066134016 is a gapful number since it is divisible by the number (16) 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 1066134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081024560).

1066134016 is an abundant number, since it is smaller than the sum of its proper divisors (1095915104).

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

1066134016 is an frugal number, since it uses more digits than its factorization.

1066134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31164 (or 31148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1066134016 is about 32651.7077041921. The cubic root of 1066134016 is about 1021.5758085285.

The spelling of 1066134016 in words is "one billion, sixty-six million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 1072 2144 4288 8576 17152 31079 34304 62158 124316 248632 497264 994528 1989056 2082293 3978112 4164586 7956224 8329172 15912448 16658344 33316688 66633376 133266752 266533504 533067008 1066134016