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12433443420 = 2235316684647
BaseRepresentation
bin10111001010001011…
…10100101001011100
31012002111201100221110
423211011310221130
5200430430142140
65413431502020
7620053345116
oct134505645134
935074640843
1012433443420
11530039a082
1224abb27910
131231bb5518
1485d40a3b6
154cb83d380
hex2e5174a5c

12433443420 has 48 divisors (see below), whose sum is σ = 35936667648. Its totient is φ = 3208630080.

The previous prime is 12433443367. The next prime is 12433443509. The reversal of 12433443420 is 2434433421.

It is a happy number.

12433443420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3340464 + ... + 3344183.

It is an arithmetic number, because the mean of its divisors is an integer number (748680576).

Almost surely, 212433443420 is an apocalyptic number.

12433443420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12433443420 is an abundant number, since it is smaller than the sum of its proper divisors (23503224228).

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

12433443420 is a wasteful number, since it uses less digits than its factorization.

12433443420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684690 (or 6684688 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 12433443420 its reverse (2434433421), we get a palindrome (14867876841).

Subtracting from 12433443420 its reverse (2434433421), we obtain a palindrome (9999009999).

The spelling of 12433443420 in words is "twelve billion, four hundred thirty-three million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 6684647 13369294 20053941 26738588 33423235 40107882 66846470 80215764 100269705 133692940 200539410 207224057 401078820 414448114 621672171 828896228 1036120285 1243344342 2072240570 2486688684 3108360855 4144481140 6216721710 12433443420