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21482980920 = 23335171497853
BaseRepresentation
bin10100000000011111…
…000100011000111000
32001110012000111122000
4110000133010120320
5322444120342140
613511422501000
71360240216302
oct240037043070
961405014560
1021482980920
119124645595
1241b6734760
1320449bb53b
14107b238972
1585b052a30
hex5007c4638

21482980920 has 256 divisors, whose sum is σ = 76340880000. Its totient is φ = 5354938368.

The previous prime is 21482980919. The next prime is 21482980931. The reversal of 21482980920 is 2908928412.

It is a happy number.

21482980920 is a `hidden beast` number, since 2 + 1 + 482 + 9 + 80 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 2731714 + ... + 2739566.

Almost surely, 221482980920 is an apocalyptic number.

21482980920 is a gapful number since it is divisible by the number (20) 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 21482980920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38170440000).

21482980920 is an abundant number, since it is smaller than the sum of its proper divisors (54857899080).

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

21482980920 is a wasteful number, since it uses less digits than its factorization.

21482980920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 21482980920 in words is "twenty-one billion, four hundred eighty-two million, nine hundred eighty thousand, nine hundred twenty".