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12645359265620 = 2252331228605527
BaseRepresentation
bin1011100000000011101000…
…1001011010011101010100
31122202212212211101121010102
42320000322021122131110
53124140143432444440
642521110422513232
72443411535163314
oct270007211323524
948685784347112
1012645359265620
114035959706a84
121502909295818
137095b5809923
1431a0780d1444
1516de04ee5b15
hexb803a25a754

12645359265620 has 72 divisors (see below), whose sum is σ = 28632531618432. Its totient is φ = 4682152495680.

The previous prime is 12645359265571. The next prime is 12645359265629. The reversal of 12645359265620 is 2656295354621.

It is a happy number.

It is a super-2 number, since 2×126453592656202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12645359265629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13860704 + ... + 14744823.

It is an arithmetic number, because the mean of its divisors is an integer number (397674050256).

Almost surely, 212645359265620 is an apocalyptic number.

12645359265620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12645359265620 is an abundant number, since it is smaller than the sum of its proper divisors (15987172352812).

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

12645359265620 is a wasteful number, since it uses less digits than its factorization.

12645359265620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28605621 (or 28605588 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 56.

The spelling of 12645359265620 in words is "twelve trillion, six hundred forty-five billion, three hundred fifty-nine million, two hundred sixty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 961 1426 1922 2852 3565 3844 4805 7130 9610 14260 19220 22103 44206 88412 110515 221030 442060 28605527 57211054 114422108 143027635 286055270 572110540 657927121 886771337 1315854242 1773542674 2631708484 3289635605 3547085348 4433856685 6579271210 8867713370 13158542420 17735426740 20395740751 27489911447 40791481502 54979822894 81582963004 101978703755 109959645788 137449557235 203957407510 274899114470 407914815020 549798228940 632267963281 1264535926562 2529071853124 3161339816405 6322679632810 12645359265620