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827761530813 = 3797406363049
BaseRepresentation
bin11000000101110100110…
…11101001011110111101
32221010121010100121220120
430002322123221132331
5102030223422441223
61432133550205153
7113542462630440
oct14027233513675
92833533317816
10827761530813
1129a062893798
121145137b37b9
1360099661299
142c0c739b657
15167ea650be3
hexc0ba6e97bd

827761530813 has 16 divisors (see below), whose sum is σ = 1274354524800. Its totient is φ = 468130231296.

The previous prime is 827761530793. The next prime is 827761530833. The reversal of 827761530813 is 318035167728.

It is an interprime number because it is at equal distance from previous prime (827761530793) and next prime (827761530833).

It is not a de Polignac number, because 827761530813 - 25 = 827761530781 is a prime.

It is a super-3 number, since 3×8277615308133 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827761530833) 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 15 ways as a sum of consecutive naturals, for example, 203179488 + ... + 203183561.

It is an arithmetic number, because the mean of its divisors is an integer number (79647157800).

Almost surely, 2827761530813 is an apocalyptic number.

It is an amenable number.

827761530813 is a deficient number, since it is larger than the sum of its proper divisors (446592993987).

827761530813 is a wasteful number, since it uses less digits than its factorization.

827761530813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406363156.

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 827761530813 in words is "eight hundred twenty-seven billion, seven hundred sixty-one million, five hundred thirty thousand, eight hundred thirteen".

Divisors: 1 3 7 21 97 291 679 2037 406363049 1219089147 2844541343 8533624029 39417215753 118251647259 275920510271 827761530813