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466116045 = 35231351061
BaseRepresentation
bin11011110010000…
…101110111001101
31012111002011000020
4123302011313031
51423311203140
6114130252353
714356630623
oct3362056715
91174064006
10466116045
1121a12397a
121101270b9
1375750315
1445c95513
152adc36d0
hex1bc85dcd

466116045 has 16 divisors (see below), whose sum is σ = 778211712. Its totient is φ = 237786560.

The previous prime is 466115983. The next prime is 466116071. The reversal of 466116045 is 540611664.

It is a happy number.

It is not a de Polignac number, because 466116045 - 211 = 466113997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 466115997 and 466116015.

It is a congruent number.

It is an unprimeable number.

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, 675186 + ... + 675875.

It is an arithmetic number, because the mean of its divisors is an integer number (48638232).

Almost surely, 2466116045 is an apocalyptic number.

It is an amenable number.

466116045 is a deficient number, since it is larger than the sum of its proper divisors (312095667).

466116045 is a wasteful number, since it uses less digits than its factorization.

466116045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351092.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 466116045 is about 21589.7208180189. The cubic root of 466116045 is about 775.3504041547.

It can be divided in two parts, 4661 and 16045, that added together give a triangular number (20706 = T203).

The spelling of 466116045 in words is "four hundred sixty-six million, one hundred sixteen thousand, forty-five".

Divisors: 1 3 5 15 23 69 115 345 1351061 4053183 6755305 20265915 31074403 93223209 155372015 466116045