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814081346813 = 7238177435181
BaseRepresentation
bin10111101100010110000…
…01111000110011111101
32212211021201200021102002
423312023001320303331
5101314214311044223
61421552300312045
7112546460163200
oct13661301706375
92784251607362
10814081346813
11294282773aa9
12111936242625
135b9c939a957
142b58a575937
1516299642e28
hexbd8b078cfd

814081346813 has 12 divisors (see below), whose sum is σ = 947019568572. Its totient is φ = 697764130560.

The previous prime is 814081346809. The next prime is 814081346899. The reversal of 814081346813 is 318643180418.

It can be written as a sum of positive squares in 2 ways, for example, as 449601093529 + 364480253284 = 670523^2 + 603722^2 .

It is not a de Polignac number, because 814081346813 - 22 = 814081346809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814081346713) 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 11 ways as a sum of consecutive naturals, for example, 1653083 + ... + 2088263.

It is an arithmetic number, because the mean of its divisors is an integer number (78918297381).

Almost surely, 2814081346813 is an apocalyptic number.

It is an amenable number.

814081346813 is a deficient number, since it is larger than the sum of its proper divisors (132938221759).

814081346813 is a wasteful number, since it uses less digits than its factorization.

814081346813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473372 (or 473365 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 814081346813 in words is "eight hundred fourteen billion, eighty-one million, three hundred forty-six thousand, eight hundred thirteen".

Divisors: 1 7 49 38177 267239 435181 1870673 3046267 21323869 16613905037 116297335259 814081346813