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299066668032 = 21031131714021
BaseRepresentation
bin1000101101000011100…
…00110011010000000000
31001120221110200211222110
410112201300303100000
514344442031334112
6345220032335320
730415102510026
oct4264160632000
91046843624873
10299066668032
11105919379170
1249b649a4540
1322281664782
14106911ca716
157ba579b13c
hex45a1c33400

299066668032 has 352 divisors, whose sum is σ = 910507696128. Its totient is φ = 86446080000.

The previous prime is 299066667989. The next prime is 299066668039. The reversal of 299066668032 is 230866660992.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299066668039) 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, 74374182 + ... + 74378202.

Almost surely, 2299066668032 is an apocalyptic number.

299066668032 is a gapful number since it is divisible by the number (22) 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 299066668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455253848064).

299066668032 is an abundant number, since it is smaller than the sum of its proper divisors (611441028096).

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

299066668032 is a wasteful number, since it uses less digits than its factorization.

299066668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 299066668032 in words is "two hundred ninety-nine billion, sixty-six million, six hundred sixty-eight thousand, thirty-two".