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462966013 is a prime number
BaseRepresentation
bin11011100110000…
…100110011111101
31012021011002222101
4123212010303331
51422004403023
6113534545101
714321101066
oct3346046375
91167132871
10462966013
11218372244
1210b068191
1374bb95b3
14456b556d
152a9a01ad
hex1b984cfd

462966013 has 2 divisors, whose sum is σ = 462966014. Its totient is φ = 462966012.

The previous prime is 462965999. The next prime is 462966017. The reversal of 462966013 is 310669264.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 454457124 + 8508889 = 21318^2 + 2917^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-462966013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (462966017) 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 as a sum of consecutive naturals, namely, 231483006 + 231483007.

It is an arithmetic number, because the mean of its divisors is an integer number (231483007).

Almost surely, 2462966013 is an apocalyptic number.

It is an amenable number.

462966013 is a deficient number, since it is larger than the sum of its proper divisors (1).

462966013 is an equidigital number, since it uses as much as digits as its factorization.

462966013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 462966013 is about 21516.6450219359. The cubic root of 462966013 is about 773.5998377739.

The spelling of 462966013 in words is "four hundred sixty-two million, nine hundred sixty-six thousand, thirteen".