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325343420325 = 325271118778841
BaseRepresentation
bin1001011101111111111…
…10101001111110100101
31011002202202001011200100
410232333332221332211
520312300403422300
6405243302334313
732335212305220
oct4567776517645
91132682034610
10325343420325
11115a82974080
1253078a2a399
13248ab556501
1411a64d625b7
1586e25ba700
hex4bbffa9fa5

325343420325 has 72 divisors (see below), whose sum is σ = 726515839296. Its totient is φ = 135207648000.

The previous prime is 325343420321. The next prime is 325343420341. The reversal of 325343420325 is 523024343523.

It is a happy number.

325343420325 is a `hidden beast` number, since 3 + 253 + 43 + 42 + 0 + 325 = 666.

It is not a de Polignac number, because 325343420325 - 22 = 325343420321 is a prime.

It is a super-2 number, since 2×3253434203252 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 325343420325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325343420321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9372096 + ... + 9406745.

It is an arithmetic number, because the mean of its divisors is an integer number (10090497768).

Almost surely, 2325343420325 is an apocalyptic number.

325343420325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

325343420325 is an abundant number, since it is smaller than the sum of its proper divisors (401172418971).

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

325343420325 is a wasteful number, since it uses less digits than its factorization.

325343420325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18778875 (or 18778867 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 325343420325 its reverse (523024343523), we get a palindrome (848367763848).

The spelling of 325343420325 in words is "three hundred twenty-five billion, three hundred forty-three million, four hundred twenty thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 17325 18778841 56336523 93894205 131451887 169009569 206567251 281682615 394355661 469471025 619701753 657259435 845047845 1032836255 1183066983 1408413075 1445970757 1859105259 1971778305 3098508765 3286297175 4225239225 4337912271 5164181275 5915334915 7229853785 9295526295 9858891525 13013736813 15492543825 21689561355 29576674575 36149268925 46477631475 65068684065 108447806775 325343420325