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995065680000 = 2735475910039
BaseRepresentation
bin11100111101011101000…
…10010101000010000000
310112010102211121222221110
432132232202111002000
5112300343303230000
62041043222523320
7131614440503310
oct16365642250200
93463384558843
10995065680000
113540066a9287
12140a25596540
1372aacc25372
1436238da1440
151ad3d485850
hexe7ae895080

995065680000 has 640 divisors, whose sum is σ = 3839071104000. Its totient is φ = 223566336000.

The previous prime is 995065679983. The next prime is 995065680001. The reversal of 995065680000 is 86560599.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (995065680001) 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 79 ways as a sum of consecutive naturals, for example, 99114981 + ... + 99125019.

It is an arithmetic number, because the mean of its divisors is an integer number (5998548600).

Almost surely, 2995065680000 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 995065680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919535552000).

995065680000 is an abundant number, since it is smaller than the sum of its proper divisors (2844005424000).

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

995065680000 is a wasteful number, since it uses less digits than its factorization.

995065680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10115 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 995065680000 in words is "nine hundred ninety-five billion, sixty-five million, six hundred eighty thousand".