Search a number
-
+
14981367676365 = 335110973093899
BaseRepresentation
bin1101101000000001111100…
…0110010011110111001101
31222001012112021100021021000
43122000133012103313031
53430423320111120430
651510202330130513
73104240154101256
oct332003706236715
958035467307230
1014981367676365
114856620543002
12181b5a5880a39
13848976cb6acc
1439b1600c9b2d
151aea76a05e60
hexda01f193dcd

14981367676365 has 16 divisors (see below), whose sum is σ = 26633542536000. Its totient is φ = 7990062760656.

The previous prime is 14981367676313. The next prime is 14981367676409. The reversal of 14981367676365 is 56367676318941.

14981367676365 is a `hidden beast` number, since 1 + 4 + 98 + 1 + 367 + 67 + 63 + 65 = 666.

It is not a de Polignac number, because 14981367676365 - 212 = 14981367672269 is a prime.

It is a super-2 number, since 2×149813676763652 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14981367676293 and 14981367676302.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55486546815 + ... + 55486547084.

It is an arithmetic number, because the mean of its divisors is an integer number (1664596408500).

Almost surely, 214981367676365 is an apocalyptic number.

14981367676365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14981367676365 is a deficient number, since it is larger than the sum of its proper divisors (11652174859635).

14981367676365 is a wasteful number, since it uses less digits than its factorization.

14981367676365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110973093913 (or 110973093907 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 14981367676365 in words is "fourteen trillion, nine hundred eighty-one billion, three hundred sixty-seven million, six hundred seventy-six thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 110973093899 332919281697 554865469495 998757845091 1664596408485 2996273535273 4993789225455 14981367676365