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1330670016 = 2632131947199
BaseRepresentation
bin100111101010000…
…0110100111000000
310102201220001002200
41033110012213000
510211122420031
6340012513200
744655336264
oct11724064700
93381801080
101330670016
11623146095
1231177b800
131828b5c10
14c8a260a4
157bc4c8e6
hex4f5069c0

1330670016 has 336 divisors, whose sum is σ = 4437888000. Its totient is φ = 377726976.

The previous prime is 1330669987. The next prime is 1330670039. The reversal of 1330670016 is 6100760331.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6686685 + ... + 6686883.

It is an arithmetic number, because the mean of its divisors is an integer number (13208000).

Almost surely, 21330670016 is an apocalyptic number.

1330670016 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 1330670016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218944000).

1330670016 is an abundant number, since it is smaller than the sum of its proper divisors (3107217984).

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

1330670016 is a wasteful number, since it uses less digits than its factorization.

1330670016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1330670016 is about 36478.3499626833. The cubic root of 1330670016 is about 1099.9090878034.

The spelling of 1330670016 in words is "one billion, three hundred thirty million, six hundred seventy thousand, sixteen".