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9994648687104 = 293293740914827
BaseRepresentation
bin1001000101110000111101…
…1111000001001000000000
31022101110221020210101120110
42101130033133001020000
52302223020030441404
633131251143511320
72051042466054054
oct221341737011000
938343836711513
109994648687104
113203785695484
121155043758540
135766505a3ca3
14267a5a53bc64
15124eb5243b89
hex9170f7c1200

9994648687104 has 320 divisors, whose sum is σ = 28360044662400. Its totient is φ = 3121868832768.

The previous prime is 9994648687099. The next prime is 9994648687109. The reversal of 9994648687104 is 4017868464999.

It is an interprime number because it is at equal distance from previous prime (9994648687099) and next prime (9994648687109).

It is not an unprimeable number, because it can be changed into a prime (9994648687109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674076939 + ... + 674091765.

It is an arithmetic number, because the mean of its divisors is an integer number (88625139570).

Almost surely, 29994648687104 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 9994648687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14180022331200).

9994648687104 is an abundant number, since it is smaller than the sum of its proper divisors (18365395975296).

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

9994648687104 is a wasteful number, since it uses less digits than its factorization.

9994648687104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15323 (or 15307 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 75.

The spelling of 9994648687104 in words is "nine trillion, nine hundred ninety-four billion, six hundred forty-eight million, six hundred eighty-seven thousand, one hundred four".