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11824280336 = 2411193535969
BaseRepresentation
bin10110000001100100…
…00011001100010000
31010112001110200021202
423000302003030100
5143204003432321
65233151210332
7566005503341
oct130062031420
933461420252
1011824280336
115018552910
12235bb169a8
13116592bcab
1480255a0c8
1549311070b
hex2c0c83310

11824280336 has 40 divisors (see below), whose sum is σ = 26307616800. Its totient is φ = 5091793920.

The previous prime is 11824280333. The next prime is 11824280353. The reversal of 11824280336 is 63308242811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 11824280336.

It is not an unprimeable number, because it can be changed into a prime (11824280333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1764641 + ... + 1771328.

It is an arithmetic number, because the mean of its divisors is an integer number (657690420).

Almost surely, 211824280336 is an apocalyptic number.

11824280336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11824280336 is an abundant number, since it is smaller than the sum of its proper divisors (14483336464).

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

11824280336 is a wasteful number, since it uses less digits than its factorization.

11824280336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536007 (or 3536001 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 11824280336 in words is "eleven billion, eight hundred twenty-four million, two hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 3535969 7071938 14143876 28287752 38895659 56575504 67183411 77791318 134366822 155582636 268733644 311165272 537467288 622330544 739017521 1074934576 1478035042 2956070084 5912140168 11824280336