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11830832424 = 2332443370919
BaseRepresentation
bin10110000010010110…
…00010110100101000
31010112111210120001200
423001023002310220
5143212143114144
65233543444200
7566115262545
oct130113026450
933474716050
1011830832424
115021218564
122362156660
1311670b4378
14803383bcc
154939a6c69
hex2c12c2d28

11830832424 has 48 divisors (see below), whose sum is σ = 32114253600. Its totient is φ = 3934698144.

The previous prime is 11830832411. The next prime is 11830832459. The reversal of 11830832424 is 42423803811.

It is a happy number.

11830832424 is a `hidden beast` number, since 1 + 1 + 8 + 308 + 324 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 153564 + ... + 217355.

It is an arithmetic number, because the mean of its divisors is an integer number (669046950).

Almost surely, 211830832424 is an apocalyptic number.

It is an amenable number.

11830832424 is an abundant number, since it is smaller than the sum of its proper divisors (20283421176).

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

11830832424 is a wasteful number, since it uses less digits than its factorization.

11830832424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371374 (or 371367 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11830832424 in words is "eleven billion, eight hundred thirty million, eight hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 443 886 1329 1772 2658 3544 3987 5316 7974 10632 15948 31896 370919 741838 1112757 1483676 2225514 2967352 3338271 4451028 6676542 8902056 13353084 26706168 164317117 328634234 492951351 657268468 985902702 1314536936 1478854053 1971805404 2957708106 3943610808 5915416212 11830832424