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20428198784 = 277217283677
BaseRepresentation
bin10011000001100111…
…011001001110000000
31221201200021000112222
4103001213121032000
5313314104330114
613215023110212
71322141552600
oct230147311600
957650230488
1020428198784
118733205114
123b61442368
131c073103b6
14dbb10ac00
157e864e98e
hex4c19d9380

20428198784 has 192 divisors, whose sum is σ = 50377379760. Its totient is φ = 8198701056.

The previous prime is 20428198759. The next prime is 20428198787. The reversal of 20428198784 is 48789182402.

It is a super-2 number, since 2×204281987842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20428198787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30174254 + ... + 30174930.

Almost surely, 220428198784 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 20428198784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25188689880).

20428198784 is an abundant number, since it is smaller than the sum of its proper divisors (29949180976).

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

20428198784 is a wasteful number, since it uses less digits than its factorization.

20428198784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 53.

The spelling of 20428198784 in words is "twenty billion, four hundred twenty-eight million, one hundred ninety-eight thousand, seven hundred eighty-four".