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5141682468 = 2233133662167
BaseRepresentation
bin1001100100111011…
…11101100100100100
3111021022222112101000
410302131331210210
541012232314333
62210112033300
7241262402616
oct46235754444
914238875330
105141682468
1121a938915a
12bb5b32830
1363c307980
1436ac22db6
152015e1713
hex13277d924

5141682468 has 48 divisors (see below), whose sum is σ = 14355698560. Its totient is φ = 1582055712.

The previous prime is 5141682463. The next prime is 5141682479. The reversal of 5141682468 is 8642861415.

It is a happy number.

5141682468 is a `hidden beast` number, since 514 + 16 + 82 + 46 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5141682463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1829680 + ... + 1832487.

Almost surely, 25141682468 is an apocalyptic number.

It is an amenable number.

5141682468 is an abundant number, since it is smaller than the sum of its proper divisors (9214016092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5141682468 is a wasteful number, since it uses less digits than its factorization.

5141682468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662193 (or 3662185 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 5141682468 is about 71705.5260631982. The cubic root of 5141682468 is about 1725.9773183963.

It can be divided in two parts, 514168 and 2468, that added together give a triangular number (516636 = T1016).

The spelling of 5141682468 in words is "five billion, one hundred forty-one million, six hundred eighty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 3662167 7324334 10986501 14648668 21973002 32959503 43946004 47608171 65919006 95216342 98878509 131838012 142824513 190432684 197757018 285649026 395514036 428473539 571298052 856947078 1285420617 1713894156 2570841234 5141682468