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12430213432 = 2371322974561
BaseRepresentation
bin10111001001110011…
…00000000100111000
31012002021122021020021
423210321200010320
5200424113312212
65413234340224
7620014033210
oct134471400470
935067567207
1012430213432
1152a959336a
1224aaa2a674
1312313242a0
1485cc09240
154cb401307
hex2e4e60138

12430213432 has 64 divisors (see below), whose sum is σ = 28810756800. Its totient is φ = 4895907840.

The previous prime is 12430213429. The next prime is 12430213441. The reversal of 12430213432 is 23431203421.

It is a junction number, because it is equal to n+sod(n) for n = 12430213397 and 12430213406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129432 + ... + 203992.

It is an arithmetic number, because the mean of its divisors is an integer number (450168075).

Almost surely, 212430213432 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 12430213432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405378400).

12430213432 is an abundant number, since it is smaller than the sum of its proper divisors (16380543368).

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

12430213432 is a wasteful number, since it uses less digits than its factorization.

12430213432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74816 (or 74812 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 12430213432 its reverse (23431203421), we get a palindrome (35861416853).

The spelling of 12430213432 in words is "twelve billion, four hundred thirty million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 229 364 458 728 916 1603 1832 2977 3206 5954 6412 11908 12824 20839 23816 41678 74561 83356 149122 166712 298244 521927 596488 969293 1043854 1938586 2087708 3877172 4175416 6785051 7754344 13570102 17074469 27140204 34148938 54280408 68297876 119521283 136595752 221968097 239042566 443936194 478085132 887872388 956170264 1553776679 1775744776 3107553358 6215106716 12430213432