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299080160064 = 263272171953619
BaseRepresentation
bin1000101101000101001…
…00010001001101000000
31001120222102002022120100
410112202210101031000
514400004010110224
6345221233442400
730415325262300
oct4264244211500
91046872068510
10299080160064
11105925a53a04
1249b69410400
13222843a991a
1410692cdd600
157ba6a63ac9
hex45a2911340

299080160064 has 1008 divisors, whose sum is σ = 1134252849600. Its totient is φ = 74633674752.

The previous prime is 299080160039. The next prime is 299080160089. The reversal of 299080160064 is 460061080992.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (299080160039) and next prime (299080160089).

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 483166347 + ... + 483166965.

Almost surely, 2299080160064 is an apocalyptic number.

299080160064 is a gapful number since it is divisible by the number (24) 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 299080160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567126424800).

299080160064 is an abundant number, since it is smaller than the sum of its proper divisors (835172689536).

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

299080160064 is a wasteful number, since it uses less digits than its factorization.

299080160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 720 counting only the distinct ones).

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

The spelling of 299080160064 in words is "two hundred ninety-nine billion, eighty million, one hundred sixty thousand, sixty-four".