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1066804992 = 2835111559
BaseRepresentation
bin111111100101100…
…010011100000000
32202100101022100000
4333211202130000
54141100224432
6253505200000
735302456431
oct7745423400
92670338300
101066804992
114a8202420
12259330000
1314002a676
14a197b488
15639ca57c
hex3f962700

1066804992 has 216 divisors, whose sum is σ = 3481994880. Its totient is φ = 323066880.

The previous prime is 1066804987. The next prime is 1066805039. The reversal of 1066804992 is 2994086601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×10668049922 = 2276145781912240128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683509 + ... + 685067.

Almost surely, 21066804992 is an apocalyptic number.

1066804992 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 1066804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740997440).

1066804992 is an abundant number, since it is smaller than the sum of its proper divisors (2415189888).

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

1066804992 is an equidigital number, since it uses as much as digits as its factorization.

1066804992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1066804992 is about 32661.9808339911. The cubic root of 1066804992 is about 1021.7900746189.

The spelling of 1066804992 in words is "one billion, sixty-six million, eight hundred four thousand, nine hundred ninety-two".