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20445442524 = 223313311014651
BaseRepresentation
bin10011000010101001…
…001011000111011100
31221202212201002112000
4103002221023013130
5313333013130044
613220440442300
71322441252103
oct230251130734
957685632460
1020445442524
118741a12641
123b67179390
131c0aa6a0b0
14dbd51903a
157e9e08d69
hex4c2a4b1dc

20445442524 has 192 divisors, whose sum is σ = 59521781760. Its totient is φ = 6026400000.

The previous prime is 20445442487. The next prime is 20445442543. The reversal of 20445442524 is 42524454402.

20445442524 is a `hidden beast` number, since 2 + 0 + 44 + 54 + 42 + 524 = 666.

It is a super-2 number, since 2×204454425242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4393599 + ... + 4398249.

It is an arithmetic number, because the mean of its divisors is an integer number (310009280).

Almost surely, 220445442524 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 20445442524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760890880).

20445442524 is an abundant number, since it is smaller than the sum of its proper divisors (39076339236).

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

20445442524 is a wasteful number, since it uses less digits than its factorization.

20445442524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

Adding to 20445442524 its reverse (42524454402), we get a palindrome (62969896926).

The spelling of 20445442524 in words is "twenty billion, four hundred forty-five million, four hundred forty-two thousand, five hundred twenty-four".