Search a number
-
+
13917149518399 = 291096143716713
BaseRepresentation
bin1100101010000101011011…
…0000001101101000111111
31211021110121002010102002221
43022201112300031220333
53311004310234042044
645333241125430211
72634323640026011
oct312412660155077
954243532112087
1013917149518399
1144862590a1596
1216892a126b367
1379c4c63c853a
14361844ccc1b1
1519203c572484
hexca856c0da3f

13917149518399 has 16 divisors (see below), whose sum is σ = 14531519692800. Its totient is φ = 13311784394496.

The previous prime is 13917149518331. The next prime is 13917149518427. The reversal of 13917149518399 is 99381594171931.

13917149518399 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13917149518399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13917149518099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19059667 + ... + 19776379.

It is an arithmetic number, because the mean of its divisors is an integer number (908219980800).

Almost surely, 213917149518399 is an apocalyptic number.

13917149518399 is a deficient number, since it is larger than the sum of its proper divisors (614370174401).

13917149518399 is a wasteful number, since it uses less digits than its factorization.

13917149518399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722994.

The product of its digits is 66134880, while the sum is 70.

The spelling of 13917149518399 in words is "thirteen trillion, nine hundred seventeen billion, one hundred forty-nine million, five hundred eighteen thousand, three hundred ninety-nine".

Divisors: 1 29 109 3161 6143 178147 669587 716713 19418023 20784677 78121717 2265529793 4402767959 127680270811 479901707531 13917149518399