Search a number
-
+
11159728211463 = 3131312184327307
BaseRepresentation
bin1010001001100101001110…
…1000101100011000000111
31110111212012122110112112020
42202121103220230120013
52430320110410231323
635422413001254223
72231156316446166
oct242312350543007
943455178415466
1011159728211463
1136128a5707347
1213029b6494373
1362c48628ca50
142a81c2d3b3dd
1514545435bae3
hexa2653a2c607

11159728211463 has 16 divisors (see below), whose sum is σ = 16146547460736. Its totient is φ = 6815101194720.

The previous prime is 11159728211461. The next prime is 11159728211473. The reversal of 11159728211463 is 36411282795111.

It is a happy number.

It is not a de Polignac number, because 11159728211463 - 21 = 11159728211461 is a prime.

It is a super-3 number, since 3×111597282114633 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11159728211461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092158545 + ... + 1092168762.

It is an arithmetic number, because the mean of its divisors is an integer number (1009159216296).

Almost surely, 211159728211463 is an apocalyptic number.

11159728211463 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11159728211463 is a deficient number, since it is larger than the sum of its proper divisors (4986819249273).

11159728211463 is a wasteful number, since it uses less digits than its factorization.

11159728211463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184327454.

The product of its digits is 725760, while the sum is 51.

The spelling of 11159728211463 in words is "eleven trillion, one hundred fifty-nine billion, seven hundred twenty-eight million, two hundred eleven thousand, four hundred sixty-three".

Divisors: 1 3 13 39 131 393 1703 5109 2184327307 6552981921 28396254991 85188764973 286146877217 858440631651 3719909403821 11159728211463