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46314241364 = 2223836065249
BaseRepresentation
bin101011001000100010…
…110011110101010100
311102112201102020021202
4223020202303311110
51224322421210424
633135414532032
73226465361516
oct531042636524
9142481366252
1046314241364
1118707200036
128b86667018
1344a1294361
142355019bb6
151310ee32ae
hexac88b3d54

46314241364 has 24 divisors (see below), whose sum is σ = 85592808000. Its totient is φ = 21883414784.

The previous prime is 46314241333. The next prime is 46314241367.

46314241364 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×463142413643 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46314241367) 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 7 ways as a sum of consecutive naturals, for example, 3024989 + ... + 3040260.

It is an arithmetic number, because the mean of its divisors is an integer number (3566367000).

Almost surely, 246314241364 is an apocalyptic number.

It is an amenable number.

46314241364 is a deficient number, since it is larger than the sum of its proper divisors (39278566636).

46314241364 is a wasteful number, since it uses less digits than its factorization.

46314241364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065359 (or 6065357 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

The spelling of 46314241364 in words is "forty-six billion, three hundred fourteen million, two hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 23 46 83 92 166 332 1909 3818 7636 6065249 12130498 24260996 139500727 279001454 503415667 558002908 1006831334 2013662668 11578560341 23157120682 46314241364