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21314216196 = 22327313232251
BaseRepresentation
bin10011110110011011…
…010010000100000100
32001000102110100221200
4103312123102010010
5322122414404241
613442553342500
71353120564000
oct236633220404
961012410850
1021314216196
119048357109
12416a107a30
132018a4c560
141062a67700
1584b3184b6
hex4f66d2104

21314216196 has 432 divisors, whose sum is σ = 71015817600. Its totient is φ = 5355504000.

The previous prime is 21314216177. The next prime is 21314216201. The reversal of 21314216196 is 69161241312.

It is a happy number.

21314216196 is a `hidden beast` number, since 2 + 1 + 3 + 14 + 21 + 619 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21314216196.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84917071 + ... + 84917321.

Almost surely, 221314216196 is an apocalyptic number.

21314216196 is a gapful number since it is divisible by the number (26) 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 21314216196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35507908800).

21314216196 is an abundant number, since it is smaller than the sum of its proper divisors (49701601404).

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

21314216196 is a wasteful number, since it uses less digits than its factorization.

21314216196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 299 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 21314216196 in words is "twenty-one billion, three hundred fourteen million, two hundred sixteen thousand, one hundred ninety-six".