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2116416162 = 237237927733
BaseRepresentation
bin111111000100101…
…1111001010100010
312110111102002011210
41332021133022202
513313300304122
6550002050550
7103306145340
oct17611371242
95414362153
102116416162
11996730873
124b0949a56
13279617c73
14161120990
15c5c0b40c
hex7e25f2a2

2116416162 has 64 divisors (see below), whose sum is σ = 5111930880. Its totient is φ = 571057344.

The previous prime is 2116416161. The next prime is 2116416227. The reversal of 2116416162 is 2616146112.

It is not an unprimeable number, because it can be changed into a prime (2116416161) 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, 62448 + ... + 90180.

It is an arithmetic number, because the mean of its divisors is an integer number (79873920).

Almost surely, 22116416162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116416162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555965440).

2116416162 is an abundant number, since it is smaller than the sum of its proper divisors (2995514718).

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

2116416162 is a wasteful number, since it uses less digits than its factorization.

2116416162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27847.

The product of its digits is 3456, while the sum is 30.

The square root of 2116416162 is about 46004.5232776083. The cubic root of 2116416162 is about 1283.9073639266.

The spelling of 2116416162 in words is "two billion, one hundred sixteen million, four hundred sixteen thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 79 138 158 161 237 322 474 483 553 966 1106 1659 1817 3318 3634 5451 10902 12719 25438 27733 38157 55466 76314 83199 166398 194131 388262 582393 637859 1164786 1275718 1913577 2190907 3827154 4381814 4465013 6572721 8930026 13145442 13395039 15336349 26790078 30672698 46009047 50390861 92018094 100781722 151172583 302345166 352736027 705472054 1058208081 2116416162