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20422590720 = 283572273347
BaseRepresentation
bin10011000001010010…
…000000000100000000
31221201021201002201220
4103001102000010000
5313311140400340
613214302555040
71322043104550
oct230122000400
957637632656
1020422590720
118730024754
123b5b598a80
131c060c890c
14dba48b160
157e7de2ed0
hex4c1480100

20422590720 has 288 divisors, whose sum is σ = 74893206528. Its totient is φ = 4646068224.

The previous prime is 20422590703. The next prime is 20422590731. The reversal of 20422590720 is 2709522402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6100087 + ... + 6103433.

It is an arithmetic number, because the mean of its divisors is an integer number (260045856).

Almost surely, 220422590720 is an apocalyptic number.

20422590720 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 20422590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37446603264).

20422590720 is an abundant number, since it is smaller than the sum of its proper divisors (54470615808).

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

20422590720 is a wasteful number, since it uses less digits than its factorization.

20422590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 20422590720 in words is "twenty billion, four hundred twenty-two million, five hundred ninety thousand, seven hundred twenty".