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4606400313 = 33170607419
BaseRepresentation
bin1000100101001000…
…00001011100111001
3102220000202101022000
410102210001130321
533413214302223
62041031051213
7222102520344
oct42244013471
912800671260
104606400313
111a54213809
12a86810b09
1358544b578
14319ac545b
151be609543
hex112901739

4606400313 has 8 divisors (see below), whose sum is σ = 6824296800. Its totient is φ = 3070933524.

The previous prime is 4606400297. The next prime is 4606400333. The reversal of 4606400313 is 3130046064.

4606400313 is a `hidden beast` number, since 4 + 6 + 0 + 640 + 0 + 3 + 13 = 666.

It is not a de Polignac number, because 4606400313 - 24 = 4606400297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 170607419 = 4606400313 / (4 + 6 + 0 + 6 + 4 + 0 + 0 + 3 + 1 + 3).

It is not an unprimeable number, because it can be changed into a prime (4606400333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85303683 + ... + 85303736.

It is an arithmetic number, because the mean of its divisors is an integer number (853037100).

Almost surely, 24606400313 is an apocalyptic number.

It is an amenable number.

4606400313 is a deficient number, since it is larger than the sum of its proper divisors (2217896487).

4606400313 is a wasteful number, since it uses less digits than its factorization.

4606400313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170607428 (or 170607422 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4606400313 is about 67870.4671635609. The cubic root of 4606400313 is about 1663.8744734777.

Adding to 4606400313 its reverse (3130046064), we get a palindrome (7736446377).

The spelling of 4606400313 in words is "four billion, six hundred six million, four hundred thousand, three hundred thirteen".

Divisors: 1 3 9 27 170607419 511822257 1535466771 4606400313