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1363403260413 = 321752117103901
BaseRepresentation
bin10011110101110001001…
…010101100000111111101
311211100011220202210121100
4103311301022230013331
5134314222213313123
62522201103323313
7200334255333165
oct23656112540775
94740156683540
101363403260413
11486241662167
121a02a0bb0539
139b75094c48c
1449dbc0175a5
15256ea326643
hex13d712ac1fd

1363403260413 has 24 divisors (see below), whose sum is σ = 2089207421496. Its totient is φ = 853826688000.

The previous prime is 1363403260409. The next prime is 1363403260469. The reversal of 1363403260413 is 3140623043631.

1363403260413 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 4 + 0 + 32 + 604 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24703351929 + 1338699908484 = 157173^2 + 1157022^2 .

It is not a de Polignac number, because 1363403260413 - 22 = 1363403260409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363403260313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8472238 + ... + 8631663.

It is an arithmetic number, because the mean of its divisors is an integer number (87050309229).

Almost surely, 21363403260413 is an apocalyptic number.

It is an amenable number.

1363403260413 is a deficient number, since it is larger than the sum of its proper divisors (725804161083).

1363403260413 is a wasteful number, since it uses less digits than its factorization.

1363403260413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17104445 (or 17104442 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 1363403260413 in words is "one trillion, three hundred sixty-three billion, four hundred three million, two hundred sixty thousand, four hundred thirteen".

Divisors: 1 3 9 17 51 153 521 1563 4689 8857 26571 79713 17103901 51311703 153935109 290766317 872298951 2616896853 8911132421 26733397263 80200191789 151489251157 454467753471 1363403260413