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505213541343 = 32740119998161
BaseRepresentation
bin1110101101000010001…
…00101101101111011111
31210022001012102001110100
413112201010231233133
531234134131310333
61024031503312143
751333443150340
oct7264104555737
91708035361410
10505213541343
11185294967255
1281ab6bab653
13388452c5394
141a6497d00c7
15d21d6bb213
hex75a112dbdf

505213541343 has 24 divisors (see below), whose sum is σ = 836083156896. Its totient is φ = 287973504000.

The previous prime is 505213541317. The next prime is 505213541347. The reversal of 505213541343 is 343145312505.

505213541343 is a `hidden beast` number, since 50 + 5 + 21 + 3 + 541 + 3 + 43 = 666.

It is not a de Polignac number, because 505213541343 - 218 = 505213279199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505213541298 and 505213541307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505213541347) 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, 9973818 + ... + 10024343.

It is an arithmetic number, because the mean of its divisors is an integer number (34836798204).

Almost surely, 2505213541343 is an apocalyptic number.

505213541343 is a deficient number, since it is larger than the sum of its proper divisors (330869615553).

505213541343 is a wasteful number, since it uses less digits than its factorization.

505213541343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19998575 (or 19998572 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 505213541343 its reverse (343145312505), we get a palindrome (848358853848).

The spelling of 505213541343 in words is "five hundred five billion, two hundred thirteen million, five hundred forty-one thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 63 401 1203 2807 3609 8421 25263 19998161 59994483 139987127 179983449 419961381 1259884143 8019262561 24057787683 56134837927 72173363049 168404513781 505213541343