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465234402706713 = 32733055323176753
BaseRepresentation
bin110100111001000001101001…
…1010011111000010100011001
32021000020222022102211000121100
41221302003103103320110121
5441434400024043103323
64325245422321302013
7166665035125646553
oct15162032323702431
92230228272730540
10465234402706713
11125268890768182
1244219664194909
1316c79553a44753
1482c56728744d3
1538bbc33c71943
hex1a720d34f8519

465234402706713 has 24 divisors (see below), whose sum is σ = 681233125130792. Its totient is φ = 305897526908928.

The previous prime is 465234402706681. The next prime is 465234402706721. The reversal of 465234402706713 is 317607204432564.

465234402706713 is a `hidden beast` number, since 4 + 6 + 523 + 4 + 40 + 2 + 7 + 0 + 6 + 71 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6296671806489 + 458937730900224 = 2509317^2 + 21422832^2 .

It is not a de Polignac number, because 465234402706713 - 25 = 465234402706681 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 465234402706713.

It is not an unprimeable number, because it can be changed into a prime (465234402006713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8484945 + ... + 31661697.

Almost surely, 2465234402706713 is an apocalyptic number.

It is an amenable number.

465234402706713 is a deficient number, since it is larger than the sum of its proper divisors (215998722424079).

465234402706713 is a wasteful number, since it uses less digits than its factorization.

465234402706713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23207385 (or 23207382 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 465234402706713 in words is "four hundred sixty-five trillion, two hundred thirty-four billion, four hundred two million, seven hundred six thousand, seven hundred thirteen".

Divisors: 1 3 9 73 219 657 30553 91659 274977 2230369 6691107 20073321 23176753 69530259 208590777 1691902969 5075708907 15227126721 708119334409 2124358003227 6373074009681 51692711411857 155078134235571 465234402706713