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1066647680 = 2757343113
BaseRepresentation
bin111111100100111…
…100000010000000
32202100002022112122
4333210330002000
54141030211210
6253501543412
735301233000
oct7744740200
92670068478
101066647680
114a810520a
12259274b68
1313cca3b97
14a193a000
1563998b55
hex3f93c080

1066647680 has 256 divisors, whose sum is σ = 3069792000. Its totient is φ = 354041856.

The previous prime is 1066647649. The next prime is 1066647683. The reversal of 1066647680 is 867466601.

It is a super-2 number, since 2×10666476802 = 2275474546498764800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066647683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9439304 + ... + 9439416.

It is an arithmetic number, because the mean of its divisors is an integer number (11991375).

Almost surely, 21066647680 is an apocalyptic number.

1066647680 is a gapful number since it is divisible by the number (10) 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 1066647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534896000).

1066647680 is an abundant number, since it is smaller than the sum of its proper divisors (2003144320).

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

1066647680 is an equidigital number, since it uses as much as digits as its factorization.

1066647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 1066647680 is about 32659.5725630327. The cubic root of 1066647680 is about 1021.7398474630.

The spelling of 1066647680 in words is "one billion, sixty-six million, six hundred forty-seven thousand, six hundred eighty".