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20422645632 = 2732178831181
BaseRepresentation
bin10011000001010010…
…001101011110000000
31221201021210220001200
4103001102031132000
5313311144130012
613214304101200
71322043423624
oct230122153600
957637726050
1020422645632
118730061a34
123b5b604800
131c061178cc
14dba4a3184
157e7e043dc
hex4c148d780

20422645632 has 192 divisors, whose sum is σ = 62348466960. Its totient is φ = 6394429440.

The previous prime is 20422645619. The next prime is 20422645643. The reversal of 20422645632 is 23654622402.

20422645632 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 645 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×204226456322 (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17292082 + ... + 17293262.

Almost surely, 220422645632 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 20422645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31174233480).

20422645632 is an abundant number, since it is smaller than the sum of its proper divisors (41925821328).

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

20422645632 is a wasteful number, since it uses less digits than its factorization.

20422645632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 20422645632 in words is "twenty billion, four hundred twenty-two million, six hundred forty-five thousand, six hundred thirty-two".