Search a number
-
+
12166035050 = 25213295411193
BaseRepresentation
bin10110101010010011…
…01111011001101010
31011101212112121121202
423111021233121222
5144404001110200
65331120204202
7610325406641
oct132511573152
934355477552
1012166035050
115183456224
122436469662
1311bb689210
14835abc358
154b311b1d5
hex2d526f66a

12166035050 has 96 divisors (see below), whose sum is σ = 25277600880. Its totient is φ = 4325529600.

The previous prime is 12166035041. The next prime is 12166035059. The reversal of 12166035050 is 5053066121.

It is an interprime number because it is at equal distance from previous prime (12166035041) and next prime (12166035059).

It can be written as a sum of positive squares in 24 ways, for example, as 1590175129 + 10575859921 = 39877^2 + 102839^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12166035059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10197254 + ... + 10198446.

Almost surely, 212166035050 is an apocalyptic number.

12166035050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12166035050 is an abundant number, since it is smaller than the sum of its proper divisors (13111565830).

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

12166035050 is a wasteful number, since it uses less digits than its factorization.

12166035050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 12166035050 in words is "twelve billion, one hundred sixty-six million, thirty-five thousand, fifty".

Divisors: 1 2 5 10 13 25 26 29 50 58 65 130 145 290 325 377 541 650 725 754 1082 1193 1450 1885 2386 2705 3770 5410 5965 7033 9425 11930 13525 14066 15509 15689 18850 27050 29825 31018 31378 34597 35165 59650 69194 70330 77545 78445 155090 156890 172985 175825 203957 345970 351650 387725 392225 407914 449761 645413 775450 784450 864925 899522 1019785 1290826 1729850 2039570 2248805 3227065 4497610 5098925 6454130 8390369 10197850 11244025 16135325 16780738 18716977 22488050 32270650 37433954 41951845 83903690 93584885 187169770 209759225 243320701 419518450 467924425 486641402 935848850 1216603505 2433207010 6083017525 12166035050