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12432332172 = 22313433076037
BaseRepresentation
bin10111001010000011…
…00101010110001100
31012002102121220121010
423211001211112030
5200430134112142
65413352005220
7620041036251
oct134501452614
935072556533
1012432332172
1152aa800197
1224ab690810
1312318b6790
1485d1db428
154cb6bde9c
hex2e506558c

12432332172 has 96 divisors (see below), whose sum is σ = 32076174592. Its totient is φ = 3723584256.

The previous prime is 12432332167. The next prime is 12432332173. The reversal of 12432332172 is 27123323421.

It is not an unprimeable number, because it can be changed into a prime (12432332173) 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, 2056338 + ... + 2062374.

Almost surely, 212432332172 is an apocalyptic number.

12432332172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12432332172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16038087296).

12432332172 is an abundant number, since it is smaller than the sum of its proper divisors (19643842420).

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

12432332172 is a wasteful number, since it uses less digits than its factorization.

12432332172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6405 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

Adding to 12432332172 its reverse (27123323421), we get a palindrome (39555655593).

The spelling of 12432332172 in words is "twelve billion, four hundred thirty-two million, three hundred thirty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 307 516 559 614 921 1118 1228 1677 1842 2236 3354 3684 3991 6037 6708 7982 11973 12074 13201 15964 18111 23946 24148 26402 36222 39603 47892 52804 72444 78481 79206 156962 158412 171613 235443 259591 313924 343226 470886 514839 519182 686452 778773 941772 1029678 1038364 1557546 1853359 2059356 3115092 3374683 3706718 5560077 6749366 7413436 10124049 11120154 13498732 20248098 22240308 24093667 40496196 48187334 72281001 79694437 96374668 144562002 159388874 239083311 289124004 318777748 478166622 956333244 1036027681 2072055362 3108083043 4144110724 6216166086 12432332172