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13812280641 = 3219179451249
BaseRepresentation
bin11001101110100011…
…01010110101000001
31022122121020120000200
430313101222311001
5211241420440031
610202325035413
7666165306525
oct146721526501
938577216020
1013812280641
115948743975
122815855b69
1313c1764533
149505add85
1555c9028e6
hex33746ad41

13812280641 has 24 divisors (see below), whose sum is σ = 21118500000. Its totient is φ = 8674791552.

The previous prime is 13812280627. The next prime is 13812280663. The reversal of 13812280641 is 14608221831.

13812280641 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 2 + 2 + 8 + 0 + 641 = 666.

13812280641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13812280641 - 29 = 13812280129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13812280596 and 13812280605.

It is not an unprimeable number, because it can be changed into a prime (13812280621) 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 23 ways as a sum of consecutive naturals, for example, 195016 + ... + 256233.

It is an arithmetic number, because the mean of its divisors is an integer number (879937500).

Almost surely, 213812280641 is an apocalyptic number.

It is an amenable number.

13812280641 is a deficient number, since it is larger than the sum of its proper divisors (7306219359).

13812280641 is a wasteful number, since it uses less digits than its factorization.

13812280641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451453 (or 451450 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13812280641 in words is "thirteen billion, eight hundred twelve million, two hundred eighty thousand, six hundred forty-one".

Divisors: 1 3 9 19 57 171 179 537 1611 3401 10203 30609 451249 1353747 4061241 8573731 25721193 77163579 80773571 242320713 726962139 1534697849 4604093547 13812280641