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13034412405 = 335763121859
BaseRepresentation
bin11000010001110100…
…10101100101110101
31020122101112202102000
430020322111211311
5203143302144110
65553220405513
7641001451230
oct141072254565
936571482360
1013034412405
115589649a63
122639246899
1312c9560181
148b9166417
1551449d1c0
hex308e95975

13034412405 has 64 divisors (see below), whose sum is σ = 26525798400. Its totient is φ = 5948873280.

The previous prime is 13034412401. The next prime is 13034412421. The reversal of 13034412405 is 50421443031.

It is a happy number.

13034412405 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 13034412405 - 22 = 13034412401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13034412401) 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 63 ways as a sum of consecutive naturals, for example, 585366 + ... + 607224.

It is an arithmetic number, because the mean of its divisors is an integer number (414465600).

Almost surely, 213034412405 is an apocalyptic number.

13034412405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13034412405 is an abundant number, since it is smaller than the sum of its proper divisors (13491385995).

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

13034412405 is a wasteful number, since it uses less digits than its factorization.

13034412405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22511 (or 22505 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13034412405 its reverse (50421443031), we get a palindrome (63455855436).

The spelling of 13034412405 in words is "thirteen billion, thirty-four million, four hundred twelve thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 631 945 1893 3155 4417 5679 9465 13251 17037 21859 22085 28395 39753 65577 66255 85185 109295 119259 153013 196731 198765 327885 459039 590193 596295 765065 983655 1377117 2295195 2950965 4131351 6885585 13793029 20656755 41379087 68965145 96551203 124137261 206895435 289653609 372411783 482756015 620686305 868960827 1448268045 1862058915 2606882481 4344804135 13034412405