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432212215225245 = 357133183111228993
BaseRepresentation
bin110001001000110000011111…
…1100011100101101110011101
32002200100002021102012010222020
41202101200333203211232131
5423122331104044201440
64131123314532010353
7160016205416436330
oct14221407743455635
92080302242163866
10432212215225245
11115797197822204
12405857584609b9
131572258b160360
1478a327b9aa617
1534e7c719403d0
hex189183f8e5b9d

432212215225245 has 128 divisors (see below), whose sum is σ = 878687685378048. Its totient is φ = 176479318425600.

The previous prime is 432212215225201. The next prime is 432212215225249. The reversal of 432212215225245 is 542522512212234.

It is not a de Polignac number, because 432212215225245 - 214 = 432212215208861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 432212215225197 and 432212215225206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432212215225249) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 351065469 + ... + 352294461.

It is an arithmetic number, because the mean of its divisors is an integer number (6864747542016).

Almost surely, 2432212215225245 is an apocalyptic number.

It is an amenable number.

432212215225245 is an abundant number, since it is smaller than the sum of its proper divisors (446475470152803).

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

432212215225245 is a wasteful number, since it uses less digits than its factorization.

432212215225245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237363.

The product of its digits is 768000, while the sum is 42.

Adding to 432212215225245 its reverse (542522512212234), we get a palindrome (974734727437479).

The spelling of 432212215225245 in words is "four hundred thirty-two trillion, two hundred twelve billion, two hundred fifteen million, two hundred twenty-five thousand, two hundred forty-five".

Divisors: 1 3 5 7 13 15 21 31 35 39 65 91 93 105 155 195 217 273 403 455 465 651 1085 1209 1365 2015 2821 3255 6045 8311 8463 14105 24933 41555 42315 58177 108043 124665 174531 257641 290885 324129 540215 756301 772923 872655 1228993 1288205 1620645 1803487 2268903 3349333 3686979 3781505 3864615 5410461 6144965 8602951 9017435 10047999 11344515 15976909 16746665 18434895 23445331 25808853 27052305 38098783 43014755 47930727 50239995 70335993 79884545 111838363 114296349 117226655 129044265 190493915 239653635 266691481 335515089 351679965 495284179 559191815 571481745 800074443 1333457405 1485852537 1677575445 2476420895 3466989253 4000372215 7429262685 10214160823 10400967759 17334946265 30642482469 51070804115 52004838795 71499125761 132784090699 153212412345 214497377283 316638985513 357495628805 398352272097 663920453495 929488634893 949916956539 1072486886415 1583194927565 1991761360485 2216472898591 2788465904679 4116306811669 4647443174465 4749584782695 6649418695773 11082364492955 12348920435007 13942329523395 20581534058345 28814147681683 33247093478865 61744602175035 86442443045049 144070738408415 432212215225245