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299107029312 = 263272131779607
BaseRepresentation
bin1000101101001000010…
…10110001000101000000
31001121001021122102020200
410112210022301011000
514400032344414222
6345224033405200
730416102541300
oct4264412610500
91047037572220
10299107029312
1110593a1361a3
1249b76409800
1322289b268a0
14106966d5600
157ba90beeac
hex45a42b1140

299107029312 has 1008 divisors, whose sum is σ = 1153495848960. Its totient is φ = 73184477184.

The previous prime is 299107029307. The next prime is 299107029341. The reversal of 299107029312 is 213920701992.

299107029312 is a `hidden beast` number, since 299 + 1 + 0 + 70 + 293 + 1 + 2 = 666.

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, 492762513 + ... + 492763119.

It is an arithmetic number, because the mean of its divisors is an integer number (1144341120).

Almost surely, 2299107029312 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 299107029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576747924480).

299107029312 is an abundant number, since it is smaller than the sum of its proper divisors (854388819648).

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

299107029312 is a wasteful number, since it uses less digits than its factorization.

299107029312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 299107029312 in words is "two hundred ninety-nine billion, one hundred seven million, twenty-nine thousand, three hundred twelve".