Search a number
-
+
11378114382 = 2317213947207
BaseRepresentation
bin10101001100011000…
…00011111101001110
31002100221221002122210
422212030003331032
5141300244130012
65121012251250
7551650243065
oct124614037516
932327832583
1011378114382
114909715818
122256610b26
1310c437547b
1479d1b91dc
15468d7d23c
hex2a6303f4e

11378114382 has 48 divisors (see below), whose sum is σ = 24347998080. Its totient is φ = 3543848832.

The previous prime is 11378114351. The next prime is 11378114389. The reversal of 11378114382 is 28341187311.

It is a happy number.

11378114382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113781143822 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11378114382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11378114389) 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 23 ways as a sum of consecutive naturals, for example, 217423 + ... + 264629.

It is an arithmetic number, because the mean of its divisors is an integer number (507249960).

Almost surely, 211378114382 is an apocalyptic number.

11378114382 is an abundant number, since it is smaller than the sum of its proper divisors (12969883698).

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

11378114382 is a wasteful number, since it uses less digits than its factorization.

11378114382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47385 (or 47368 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The spelling of 11378114382 in words is "eleven billion, three hundred seventy-eight million, one hundred fourteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 17 34 51 102 139 278 289 417 578 834 867 1734 2363 4726 7089 14178 40171 47207 80342 94414 120513 141621 241026 283242 802519 1605038 2407557 4815114 6561773 13123546 13642823 19685319 27285646 39370638 40928469 81856938 111550141 223100282 334650423 669300846 1896352397 3792704794 5689057191 11378114382