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21900478824 = 233271011034177
BaseRepresentation
bin10100011001010111…
…101100100101101000
32002112021121121002100
4110121113230211220
5324323010310244
614021055133400
71403466666330
oct243127544550
962467547070
1021900478824
119319281984
1242b2514260
1320b0348413
1410ba8760c0
15882a20b69
hex5195ec968

21900478824 has 192 divisors, whose sum is σ = 69139549440. Its totient is φ = 6133708800.

The previous prime is 21900478757. The next prime is 21900478841. The reversal of 21900478824 is 42887400912.

It is a self number, because there is not a number n which added to its sum of digits gives 21900478824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5241024 + ... + 5245200.

It is an arithmetic number, because the mean of its divisors is an integer number (360101820).

Almost surely, 221900478824 is an apocalyptic number.

21900478824 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 21900478824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34569774720).

21900478824 is an abundant number, since it is smaller than the sum of its proper divisors (47239070616).

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

21900478824 is a wasteful number, since it uses less digits than its factorization.

21900478824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 21900478824 in words is "twenty-one billion, nine hundred million, four hundred seventy-eight thousand, eight hundred twenty-four".