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22018959424448 = 2672913928143391
BaseRepresentation
bin1010000000110101100000…
…10000010011101111000000
32212221222210010210220120022
411000122300100103233000
510341224312103040243
6114455211553233012
74431550224666620
oct500326020235700
985858703726508
1022018959424448
11701a208620048
122577508b62768
13c394c077a04c
14561a1ab22880
15282b6c585b68
hex1406b0413bc0

22018959424448 has 224 divisors, whose sum is σ = 52215780556800. Its totient is φ = 9013345689600.

The previous prime is 22018959424447. The next prime is 22018959424493. The reversal of 22018959424448 is 84442495981022.

It is a happy number.

22018959424448 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22018959424447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507432833 + ... + 507476223.

It is an arithmetic number, because the mean of its divisors is an integer number (233106163200).

Almost surely, 222018959424448 is an apocalyptic number.

22018959424448 is a gapful number since it is divisible by the number (28) 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 22018959424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26107890278400).

22018959424448 is an abundant number, since it is smaller than the sum of its proper divisors (30196821132352).

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

22018959424448 is a wasteful number, since it uses less digits than its factorization.

22018959424448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43859 (or 43849 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 62.

The spelling of 22018959424448 in words is "twenty-two trillion, eighteen billion, nine hundred fifty-nine million, four hundred twenty-four thousand, four hundred forty-eight".