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20982919104 = 2634773892
BaseRepresentation
bin10011100010101011…
…011110111111000000
32000011100001201210000
4103202223132333000
5320433111402404
613350040440000
71341655604160
oct234253367700
960140051700
1020982919104
118998346764
124097179000
131c95214284
141030a685a0
1582c1c6339
hex4e2adefc0

20982919104 has 420 divisors, whose sum is σ = 72878181904. Its totient is φ = 5846556672.

The previous prime is 20982919007. The next prime is 20982919117. The reversal of 20982919104 is 40191928902.

It is a self number, because there is not a number n which added to its sum of digits gives 20982919104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 235763092 + ... + 235763180.

Almost surely, 220982919104 is an apocalyptic number.

20982919104 is a gapful number since it is divisible by the number (24) 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 20982919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36439090952).

20982919104 is an abundant number, since it is smaller than the sum of its proper divisors (51895262800).

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

20982919104 is an frugal number, since it uses more digits than its factorization.

20982919104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 20982919104 in words is "twenty billion, nine hundred eighty-two million, nine hundred nineteen thousand, one hundred four".