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1668660864 = 273131973241
BaseRepresentation
bin110001101110101…
…1011111010000000
311022021212202101020
41203131123322000
511404134121424
6433325105440
756231245323
oct14335337200
94267782336
101668660864
11786a08672
123a69b8280
13207925bc0
1411b8887ba
159b763079
hex6375be80

1668660864 has 256 divisors, whose sum is σ = 5114524800. Its totient is φ = 477757440.

The previous prime is 1668660863. The next prime is 1668660869. The reversal of 1668660864 is 4680668661.

1668660864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1668660863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6923784 + ... + 6924024.

Almost surely, 21668660864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557262400).

1668660864 is an abundant number, since it is smaller than the sum of its proper divisors (3445863936).

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

1668660864 is a wasteful number, since it uses less digits than its factorization.

1668660864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 1668660864 is about 40849.2455744289. The cubic root of 1668660864 is about 1186.1037894963.

The spelling of 1668660864 in words is "one billion, six hundred sixty-eight million, six hundred sixty thousand, eight hundred sixty-four".