Search a number
-
+
2119685168 = 242931714411
BaseRepresentation
bin111111001010111…
…1101010000110000
312110201120011102002
41332111331100300
513320114411133
6550200113132
7103346012066
oct17625752060
95421504362
102119685168
11998563927
124b1a657a8
1327a1c0ba3
14161732036
15c6154ce8
hex7e57d430

2119685168 has 40 divisors (see below), whose sum is σ = 4262204880. Its totient is φ = 1019997440.

The previous prime is 2119685167. The next prime is 2119685173. The reversal of 2119685168 is 8615869112.

It is a happy number.

It is a super-2 number, since 2×21196851682 = 8986130422878376448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2119685167) 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 7 ways as a sum of consecutive naturals, for example, 139883 + ... + 154293.

It is an arithmetic number, because the mean of its divisors is an integer number (106555122).

Almost surely, 22119685168 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 2119685168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131102440).

2119685168 is an abundant number, since it is smaller than the sum of its proper divisors (2142519712).

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

2119685168 is a wasteful number, since it uses less digits than its factorization.

2119685168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14765 (or 14759 counting only the distinct ones).

The product of its digits is 207360, while the sum is 47.

The square root of 2119685168 is about 46040.0387488977. The cubic root of 2119685168 is about 1284.5680628734.

The spelling of 2119685168 in words is "two billion, one hundred nineteen million, six hundred eighty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 317 464 634 1268 2536 5072 9193 14411 18386 28822 36772 57644 73544 115288 147088 230576 417919 835838 1671676 3343352 4568287 6686704 9136574 18273148 36546296 73092592 132480323 264960646 529921292 1059842584 2119685168