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20445028240 = 2457131731732
BaseRepresentation
bin10011000010100111…
…100101111110010000
31221202211221001020011
4103002213211332100
5313332411400430
613220423524304
71322434605220
oct230247457620
957684831204
1020445028240
11874175a35a
123b66bb9694
131c0a953660
14dbd44c080
157e9d7622a
hex4c29e5f90

20445028240 has 480 divisors, whose sum is σ = 64831850496. Its totient is φ = 5812715520.

The previous prime is 20445028229. The next prime is 20445028249. The reversal of 20445028240 is 4282054402.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (20445028249) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 280068844 + ... + 280068916.

Almost surely, 220445028240 is an apocalyptic number.

20445028240 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 20445028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32415925248).

20445028240 is an abundant number, since it is smaller than the sum of its proper divisors (44386822256).

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

20445028240 is a wasteful number, since it uses less digits than its factorization.

20445028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The spelling of 20445028240 in words is "twenty billion, four hundred forty-five million, twenty-eight thousand, two hundred forty".