Search a number
-
+
12433460226 = 23115927711527
BaseRepresentation
bin10111001010001011…
…11000110000000010
31012002111202012222220
423211011320300002
5200430431211401
65413432111510
7620053445115
oct134505706002
935074665886
1012433460226
115300400770
1224abb35596
131231bc0075
1485d41257c
154cb843336
hex2e5178c02

12433460226 has 64 divisors (see below), whose sum is σ = 27689333760. Its totient is φ = 3690164160.

The previous prime is 12433460219. The next prime is 12433460227. The reversal of 12433460226 is 62206433421.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12433460227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072875 + ... + 1084401.

It is an arithmetic number, because the mean of its divisors is an integer number (432645840).

Almost surely, 212433460226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12433460226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13844666880).

12433460226 is an abundant number, since it is smaller than the sum of its proper divisors (15255873534).

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

12433460226 is a wasteful number, since it uses less digits than its factorization.

12433460226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11879.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 12433460226 its reverse (62206433421), we get a palindrome (74639893647).

The spelling of 12433460226 in words is "twelve billion, four hundred thirty-three million, four hundred sixty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 277 354 554 649 831 1298 1662 1947 3047 3894 6094 9141 11527 16343 18282 23054 32686 34581 49029 69162 98058 126797 179773 253594 359546 380391 539319 680093 760782 1078638 1360186 2040279 3192979 4080558 6385958 7481023 9578937 14962046 19157874 22443069 35122769 44886138 70245538 105368307 188385761 210736614 376771522 565157283 1130314566 2072243371 4144486742 6216730113 12433460226