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4646868260240 = 245292002960457
BaseRepresentation
bin100001110011110111011…
…1011101001010110010000
3121110020101020110001201202
41003213232323221112100
51102113241233311430
613514424121450332
7656503504333223
oct103475673512620
917406336401652
104646868260240
1115317a8a97838
126307169409a8
13279275736abb
14120ca40175ba
1580d207a4d45
hex439eeee9590

4646868260240 has 40 divisors (see below), whose sum is σ = 11176519355640. Its totient is φ = 1794652568576.

The previous prime is 4646868260207. The next prime is 4646868260273. The reversal of 4646868260240 is 420628686464.

It is an interprime number because it is at equal distance from previous prime (4646868260207) and next prime (4646868260273).

It can be written as a sum of positive squares in 4 ways, for example, as 1406709858304 + 3240158401936 = 1186048^2 + 1800044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001477909 + ... + 1001482548.

It is an arithmetic number, because the mean of its divisors is an integer number (279412983891).

Almost surely, 24646868260240 is an apocalyptic number.

4646868260240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4646868260240 is an abundant number, since it is smaller than the sum of its proper divisors (6529651095400).

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

4646868260240 is a wasteful number, since it uses less digits than its factorization.

4646868260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002960499 (or 2002960493 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 56.

The spelling of 4646868260240 in words is "four trillion, six hundred forty-six billion, eight hundred sixty-eight million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 2002960457 4005920914 8011841828 10014802285 16023683656 20029604570 32047367312 40059209140 58085853253 80118418280 116171706506 160236836560 232343413012 290429266265 464686826024 580858532530 929373652048 1161717065060 2323434130120 4646868260240