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503431350445300 = 225218772682106289
BaseRepresentation
bin111001001110111100011111…
…0110011111110010011110100
32110000111120022101210220221011
41302131320332303332103310
51011441204401203222200
64542413100350202004
7211016500113463114
oct16235707663762364
92400446271726834
10503431350445300
11136455044997472
12485684507b3304
13187ba4ac914c74
148c462c9053044
153d30610ebb5ba
hex1c9de3ecfe4f4

503431350445300 has 36 divisors (see below), whose sum is σ = 1093028047938540. Its totient is φ = 201265255851520.

The previous prime is 503431350445217. The next prime is 503431350445307. The reversal of 503431350445300 is 3544053134305.

It can be written as a sum of positive squares in 6 ways, for example, as 1330543794064 + 502100806651236 = 1153492^2 + 22407606^2 .

It is a super-2 number, since 2×5034313504453002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503431350445307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1340865445 + ... + 1341240844.

It is an arithmetic number, because the mean of its divisors is an integer number (30361890220515).

Almost surely, 2503431350445300 is an apocalyptic number.

503431350445300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

503431350445300 is an abundant number, since it is smaller than the sum of its proper divisors (589596697493240).

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

503431350445300 is a wasteful number, since it uses less digits than its factorization.

503431350445300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682108180 (or 2682108173 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

The spelling of 503431350445300 in words is "five hundred three trillion, four hundred thirty-one billion, three hundred fifty million, four hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1877 3754 7508 9385 18770 37540 46925 93850 187700 2682106289 5364212578 10728425156 13410531445 26821062890 53642125780 67052657225 134105314450 268210628900 5034313504453 10068627008906 20137254017812 25171567522265 50343135044530 100686270089060 125857837611325 251715675222650 503431350445300