Search a number
-
+
11274671205 = 335711930869
BaseRepresentation
bin10101000000000010…
…11101010001100101
31002002202021122022000
422200001131101211
5141042303434310
65102435155513
7546253060350
oct124001352145
932082248260
1011274671205
114866292396
122227a45b99
1310a8ac76a5
1478d56d297
1545ec484c0
hex2a005d465

11274671205 has 32 divisors (see below), whose sum is σ = 22907270400. Its totient is φ = 5154134976.

The previous prime is 11274671183. The next prime is 11274671207. The reversal of 11274671205 is 50217647211.

It is not a de Polignac number, because 11274671205 - 25 = 11274671173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11274671205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11274671207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5964490 + ... + 5966379.

It is an arithmetic number, because the mean of its divisors is an integer number (715852200).

Almost surely, 211274671205 is an apocalyptic number.

11274671205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11274671205 is an abundant number, since it is smaller than the sum of its proper divisors (11632599195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11274671205 is a wasteful number, since it uses less digits than its factorization.

11274671205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11930890 (or 11930884 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11274671205 in words is "eleven billion, two hundred seventy-four million, six hundred seventy-one thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 11930869 35792607 59654345 83516083 107377821 178963035 250548249 322133463 417580415 536889105 751644747 1252741245 1610667315 2254934241 3758223735 11274671205