Search a number
-
+
11166468165 = 335131631409
BaseRepresentation
bin10100110011001001…
…01100100001000101
31001211012200100122000
422121210230201011
5140332103440130
65044012055513
7543500261526
oct123144544105
931735610560
1011166468165
1148101a8896
1221b7764599
13108c571218
1477d04484d
154554c3260
hex29992c845

11166468165 has 32 divisors (see below), whose sum is σ = 20003068800. Its totient is φ = 5909978880.

The previous prime is 11166468161. The next prime is 11166468167. The reversal of 11166468165 is 56186466111.

11166468165 is a `hidden beast` number, since 11 + 16 + 6 + 468 + 165 = 666.

It is not a de Polignac number, because 11166468165 - 22 = 11166468161 is a prime.

It is a super-2 number, since 2×111664681652 (a number of 21 digits) contains 22 as substring.

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 11166468165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166468161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298020 + ... + 333389.

It is an arithmetic number, because the mean of its divisors is an integer number (625095900).

Almost surely, 211166468165 is an apocalyptic number.

11166468165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11166468165 is a deficient number, since it is larger than the sum of its proper divisors (8836600635).

11166468165 is a wasteful number, since it uses less digits than its factorization.

11166468165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631554 (or 631548 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 11166468165 in words is "eleven billion, one hundred sixty-six million, four hundred sixty-eight thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 131 135 393 655 1179 1965 3537 5895 17685 631409 1894227 3157045 5682681 9471135 17048043 28413405 82714579 85240215 248143737 413572895 744431211 1240718685 2233293633 3722156055 11166468165