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2079947776 = 21023471879
BaseRepresentation
bin111101111111001…
…0111110000000000
312100221210021221211
41323332113300000
513224431312101
6542220255504
7102354156454
oct17376276000
95327707854
102079947776
11978092605
124a06a1594
13271bb9a3a
1415a34a664
15c2905c51
hex7bf97c00

2079947776 has 88 divisors (see below), whose sum is σ = 4433310720. Its totient is φ = 973074432.

The previous prime is 2079947761. The next prime is 2079947873. The reversal of 2079947776 is 6777499702.

It is a self number, because there is not a number n which added to its sum of digits gives 2079947776.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1106005 + ... + 1107883.

Almost surely, 22079947776 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 2079947776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216655360).

2079947776 is an abundant number, since it is smaller than the sum of its proper divisors (2353362944).

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

2079947776 is a wasteful number, since it uses less digits than its factorization.

2079947776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 9335088, while the sum is 58.

The square root of 2079947776 is about 45606.4444568967. Note that the first 4 decimals coincide. The cubic root of 2079947776 is about 1276.4901763523.

The spelling of 2079947776 in words is "two billion, seventy-nine million, nine hundred forty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 128 184 188 256 368 376 512 736 752 1024 1081 1472 1504 1879 2162 2944 3008 3758 4324 5888 6016 7516 8648 11776 12032 15032 17296 23552 24064 30064 34592 43217 48128 60128 69184 86434 88313 120256 138368 172868 176626 240512 276736 345736 353252 481024 553472 691472 706504 962048 1106944 1382944 1413008 1924096 2031199 2765888 2826016 4062398 5531776 5652032 8124796 11063552 11304064 16249592 22127104 22608128 32499184 44254208 45216256 64998368 90432512 129996736 259993472 519986944 1039973888 2079947776