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21868599821696 = 2719294123931643
BaseRepresentation
bin1001111100011101011100…
…00111111100010110000000
32212102121200022200200110022
410332032232013330112000
510331243343023243241
6114302143541153012
74414645201315055
oct476165607742600
985377608620408
1021868599821696
116a7146a539041
1225523459bb768
13c2827a8618c4
145586356c502c
1527dcbc12254b
hex13e3ae1fc580

21868599821696 has 256 divisors, whose sum is σ = 48802642560000. Its totient is φ = 9716534231040.

The previous prime is 21868599821689. The next prime is 21868599821743. The reversal of 21868599821696 is 69612899586812.

It is a super-2 number, since 2×218685998216962 (a number of 27 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 21868599821696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691088051 + ... + 691119693.

It is an arithmetic number, because the mean of its divisors is an integer number (190635322500).

Almost surely, 221868599821696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21868599821696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24401321280000).

21868599821696 is an abundant number, since it is smaller than the sum of its proper divisors (26934042738304).

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

21868599821696 is a wasteful number, since it uses less digits than its factorization.

21868599821696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31985 (or 31973 counting only the distinct ones).

The product of its digits is 1612431360, while the sum is 80.

The spelling of 21868599821696 in words is "twenty-one trillion, eight hundred sixty-eight billion, five hundred ninety-nine million, eight hundred twenty-one thousand, six hundred ninety-six".