Search a number
-
+
11366624745 = 3257172122619
BaseRepresentation
bin10101001011000000…
…01110110111101001
31002100011022100211200
422211200032313221
5141234323442440
65115522114413
7551450500440
oct124540166751
932304270750
1011366624745
114903188453
1222527aba09
1310c1b81878
1479b867d57
15467d5dc30
hex2a580ede9

11366624745 has 48 divisors (see below), whose sum is σ = 23841267840. Its totient is φ = 4890511872.

The previous prime is 11366624671. The next prime is 11366624747. The reversal of 11366624745 is 54742666311.

11366624745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11366624745 - 210 = 11366623721 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11366624745.

It is not an unprimeable number, because it can be changed into a prime (11366624747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055955 + ... + 1066664.

It is an arithmetic number, because the mean of its divisors is an integer number (496693080).

Almost surely, 211366624745 is an apocalyptic number.

11366624745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11366624745 is an abundant number, since it is smaller than the sum of its proper divisors (12474643095).

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

11366624745 is a wasteful number, since it uses less digits than its factorization.

11366624745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122654 (or 2122651 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 11366624745 in words is "eleven billion, three hundred sixty-six million, six hundred twenty-four thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 2122619 6367857 10613095 14858333 19103571 31839285 36084523 44574999 74291665 95517855 108253569 133724997 180422615 222874995 252591661 324760707 541267845 668624985 757774983 1262958305 1623803535 2273324949 3788874915 11366624745