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852234326401 = 3764380944279
BaseRepresentation
bin11000110011011010001…
…11111101000110000001
310000110202200020110020011
430121231013331012001
5102430333441421101
61451302215144521
7115400106151633
oct14315507750601
93013680213204
10852234326401
112a9481072297
12119203675141
13624998a9013
142d36970aa53
151727ddd4751
hexc66d1fd181

852234326401 has 16 divisors (see below), whose sum is σ = 877732329600. Its totient is φ = 826869333888.

The previous prime is 852234326399. The next prime is 852234326407. The reversal of 852234326401 is 104623432258.

It is a happy number.

852234326401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 852234326401 - 21 = 852234326399 is a prime.

It is a super-2 number, since 2×8522343264012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (852234326407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19224780 + ... + 19269058.

It is an arithmetic number, because the mean of its divisors is an integer number (54858270600).

Almost surely, 2852234326401 is an apocalyptic number.

It is an amenable number.

852234326401 is a deficient number, since it is larger than the sum of its proper divisors (25498003199).

852234326401 is a wasteful number, since it uses less digits than its factorization.

852234326401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45768.

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 852234326401 its reverse (104623432258), we get a palindrome (956857758659).

The spelling of 852234326401 in words is "eight hundred fifty-two billion, two hundred thirty-four million, three hundred twenty-six thousand, four hundred one".

Divisors: 1 37 643 809 23791 29933 44279 520187 1638323 19246919 28471397 35821711 1053441689 1325403307 23033360173 852234326401