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11684395008 = 2113211213231
BaseRepresentation
bin10101110000111000…
…11011100000000000
31010011022020202200200
422320130123200000
5142412201120013
65211233045200
7562356501366
oct127034334000
933138222620
1011684395008
114a56599a00
1223210b6800
131142961c00
147cbb45636
15485bcce73
hex2b871b800

11684395008 has 648 divisors, whose sum is σ = 41461973280. Its totient is φ = 3162931200.

The previous prime is 11684394947. The next prime is 11684395033. The reversal of 11684395008 is 80059348611.

11684395008 is a `hidden beast` number, since 1 + 168 + 439 + 50 + 0 + 8 = 666.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 376915953 + ... + 376915983.

Almost surely, 211684395008 is an apocalyptic number.

11684395008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11684395008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20730986640).

11684395008 is an abundant number, since it is smaller than the sum of its proper divisors (29777578272).

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

11684395008 is a wasteful number, since it uses less digits than its factorization.

11684395008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11684395008 in words is "eleven billion, six hundred eighty-four million, three hundred ninety-five thousand, eight".