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13625148447440 = 2454119321523361
BaseRepresentation
bin1100011001000101101000…
…1000100001101011010000
31210020112220000121002011222
43012101122020201223100
53241213301000304230
644551150133224212
72604245610623225
oct306213210415320
953215800532158
1013625148447440
114383436101052
12164078a792068
1377aacc82644a
1435166425594c
1518964c24b6e5
hexc645a221ad0

13625148447440 has 80 divisors (see below), whose sum is σ = 32619257765136. Its totient is φ = 5289580953600.

The previous prime is 13625148447437. The next prime is 13625148447461. The reversal of 13625148447440 is 4474484152631.

It can be written as a sum of positive squares in 8 ways, for example, as 8106069517456 + 5519078929984 = 2847116^2 + 2349272^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10128641 + ... + 11394720.

Almost surely, 213625148447440 is an apocalyptic number.

13625148447440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13625148447440 is an abundant number, since it is smaller than the sum of its proper divisors (18994109317696).

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

13625148447440 is a wasteful number, since it uses less digits than its factorization.

13625148447440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21523608 (or 21523602 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 53.

The spelling of 13625148447440 in words is "thirteen trillion, six hundred twenty-five billion, one hundred forty-eight million, four hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 193 205 328 386 410 656 772 820 965 1544 1640 1930 3088 3280 3860 7720 7913 15440 15826 31652 39565 63304 79130 126608 158260 316520 633040 21523361 43046722 86093444 107616805 172186888 215233610 344373776 430467220 860934440 882457801 1721868880 1764915602 3529831204 4154008673 4412289005 7059662408 8308017346 8824578010 14119324816 16616034692 17649156020 20770043365 33232069384 35298312040 41540086730 66464138768 70596624080 83080173460 166160346920 170314355593 332320693840 340628711186 681257422372 851571777965 1362514844744 1703143555930 2725029689488 3406287111860 6812574223720 13625148447440