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422468044181568 = 263272117928576029
BaseRepresentation
bin110000000001110111000000…
…1101100111101000001000000
32001101211112212101021102010100
41200003232001230331001000
5420333204023302302233
64054303050141202400
7154662210653243400
oct14003560154750100
92041745771242110
10422468044181568
1111267a767248610
123b471179260400
13151967478a33c8
1476477c3496800
1533c956b414813
hex1803b81b3d040

422468044181568 has 1008 divisors, whose sum is σ = 1556942947372800. Its totient is φ = 108287061442560.

The previous prime is 422468044181551. The next prime is 422468044181569. The reversal of 422468044181568 is 865181440864224.

422468044181568 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 68 + 0 + 4 + 4 + 1 + 8 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (422468044181569) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70072653178 + ... + 70072659206.

Almost surely, 2422468044181568 is an apocalyptic number.

422468044181568 is a gapful number since it is divisible by the number (48) 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 422468044181568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778471473686400).

422468044181568 is an abundant number, since it is smaller than the sum of its proper divisors (1134474903191232).

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

422468044181568 is a wasteful number, since it uses less digits than its factorization.

422468044181568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 8988 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 422468044181568 in words is "four hundred twenty-two trillion, four hundred sixty-eight billion, forty-four million, one hundred eighty-one thousand, five hundred sixty-eight".