Search a number
-
+
11289013125255 = 3252936771264699
BaseRepresentation
bin1010010001000110110110…
…0111100000000010000111
31110222012220201211122021200
42210101231213200002013
52434424344330002010
640002033453513543
72243414161210125
oct244215547400207
943865821748250
1011289013125255
113662709672638
121323a777a28b3
1363b71ac72538
142b0569462915
151489be51ccc0
hexa446d9e0087

11289013125255 has 48 divisors (see below), whose sum is σ = 19663424071200. Its totient is φ = 5991390422784.

The previous prime is 11289013125211. The next prime is 11289013125287. The reversal of 11289013125255 is 55252131098211.

11289013125255 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 90 + 1 + 31 + 2 + 525 + 5 = 666.

It is not a de Polignac number, because 11289013125255 - 219 = 11289012600967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11289013125255.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8293896 + ... + 9558594.

It is an arithmetic number, because the mean of its divisors is an integer number (409654668150).

Almost surely, 211289013125255 is an apocalyptic number.

11289013125255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11289013125255 is a deficient number, since it is larger than the sum of its proper divisors (8374410945945).

11289013125255 is a wasteful number, since it uses less digits than its factorization.

11289013125255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265680 (or 1265677 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 11289013125255 in words is "eleven trillion, two hundred eighty-nine billion, thirteen million, one hundred twenty-five thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 45 293 677 879 1465 2031 2637 3385 4395 6093 10155 13185 30465 198361 595083 991805 1264699 1785249 2975415 3794097 6323495 8926245 11382291 18970485 56911455 370556807 856201223 1111670421 1852784035 2568603669 3335011263 4281006115 5558352105 7705811007 12843018345 16675056315 38529055035 250866958339 752600875017 1254334791695 2257802625051 3763004375085 11289013125255