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20450374560 = 25385711223
BaseRepresentation
bin10011000010111011…
…111111001110100000
31221210012222200000000
4103002323333032200
5313340243441220
613221134300000
71322531213160
oct230273771640
957705880000
1020450374560
118744781100
123b68957600
131c0baa5c65
14dc00405a0
157ea580390
hex4c2eff3a0

20450374560 has 1296 divisors, whose sum is σ = 94991315328. Its totient is φ = 4064670720.

The previous prime is 20450374513. The next prime is 20450374561. The reversal of 20450374560 is 6547305402.

20450374560 is a `hidden beast` number, since 20 + 4 + 5 + 0 + 3 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20450374561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 889146709 + ... + 889146731.

It is an arithmetic number, because the mean of its divisors is an integer number (73295768).

Almost surely, 220450374560 is an apocalyptic number.

20450374560 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 20450374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47495657664).

20450374560 is an abundant number, since it is smaller than the sum of its proper divisors (74540940768).

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

20450374560 is an equidigital number, since it uses as much as digits as its factorization.

20450374560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 20450374560 its reverse (6547305402), we get a palindrome (26997679962).

The spelling of 20450374560 in words is "twenty billion, four hundred fifty million, three hundred seventy-four thousand, five hundred sixty".