Search a number
-
+
1050819016 = 231321922153
BaseRepresentation
bin111110101000100…
…011100111001000
32201020022010200211
4332220203213020
54123002202031
6252134410504
735016546202
oct7650434710
92636263624
101050819016
1149a183975
12253b00a34
13139921300
149d7b9772
15623bdbb1
hex3ea239c8

1050819016 has 72 divisors (see below), whose sum is σ = 2252750130. Its totient is φ = 459254016.

The previous prime is 1050818987. The next prime is 1050819017. The reversal of 1050819016 is 6109180501.

1050819016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 270734116 + 780084900 = 16454^2 + 27930^2 .

It is a super-2 number, since 2×10508190162 = 2208441208774416512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1050819017) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 486996 + ... + 489148.

Almost surely, 21050819016 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 1050819016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126375065).

1050819016 is an abundant number, since it is smaller than the sum of its proper divisors (1201931114).

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

1050819016 is a wasteful number, since it uses less digits than its factorization.

1050819016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 1050819016 is about 32416.3387198493. The cubic root of 1050819016 is about 1016.6605563490.

Adding to 1050819016 its reverse (6109180501), we get a palindrome (7159999517).

The spelling of 1050819016 in words is "one billion, fifty million, eight hundred nineteen thousand, sixteen".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 169 247 338 361 494 676 722 988 1352 1444 1976 2153 2888 3211 4306 4693 6422 8612 9386 12844 17224 18772 25688 27989 37544 40907 55978 61009 81814 111956 122018 163628 223912 244036 327256 363857 488072 531791 727714 777233 1063582 1455428 1554466 2127164 2910856 3108932 4254328 6217864 6913283 10104029 13826566 20208058 27653132 40416116 55306264 80832232 131352377 262704754 525409508 1050819016