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2842330816 = 26136750989
BaseRepresentation
bin1010100101101010…
…1000011011000000
321100002100100212201
42221122220123000
521310114041231
61150013002544
7130302261523
oct25132503300
97302310781
102842330816
111229470236
12673a83454
13363b2b970
141cd6c2bba
151197ec161
hexa96a86c0

2842330816 has 56 divisors (see below), whose sum is σ = 6164894960. Its totient is φ = 1292239872.

The previous prime is 2842330769. The next prime is 2842330837. The reversal of 2842330816 is 6180332482.

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 7 ways as a sum of consecutive naturals, for example, 30250 + ... + 81238.

It is an arithmetic number, because the mean of its divisors is an integer number (110087410).

Almost surely, 22842330816 is an apocalyptic number.

2842330816 is a gapful number since it is divisible by the number (26) 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 2842330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082447480).

2842330816 is an abundant number, since it is smaller than the sum of its proper divisors (3322564144).

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

2842330816 is a wasteful number, since it uses less digits than its factorization.

2842330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51081 (or 51071 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2842330816 is about 53313.5143842535. The cubic root of 2842330816 is about 1416.5270575656.

The spelling of 2842330816 in words is "two billion, eight hundred forty-two million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 268 416 536 832 871 1072 1742 2144 3484 4288 6968 13936 27872 50989 55744 101978 203956 407912 662857 815824 1325714 1631648 2651428 3263296 3416263 5302856 6832526 10605712 13665052 21211424 27330104 42422848 44411419 54660208 88822838 109320416 177645676 218640832 355291352 710582704 1421165408 2842330816