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422389884153384 = 2332724117316879321
BaseRepresentation
bin110000000001010010100111…
…1000000000110111000101000
32001101120002010021101120221200
41200002211033000012320220
5420330413440320402014
64054203122312404200
7154653443043046200
oct14002451700067050
92041502107346850
10422389884153384
1111264a5a8a175a4
123b459ba56a6660
131518c26ca15414
147643acac3b400
1533c74e4747a09
hex180294f006e28

422389884153384 has 288 divisors, whose sum is σ = 1371080656731240. Its totient is φ = 117058759372800.

The previous prime is 422389884153329. The next prime is 422389884153421. The reversal of 422389884153384 is 483351488983224.

It is a happy number.

422389884153384 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 8 + 9 + 8 + 8 + 4 + 1 + 533 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 202112341090884 + 220277543062500 = 14216622^2 + 14841750^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16584444 + ... + 33463764.

Almost surely, 2422389884153384 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 422389884153384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685540328365620).

422389884153384 is an abundant number, since it is smaller than the sum of its proper divisors (948690772577856).

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

422389884153384 is a wasteful number, since it uses less digits than its factorization.

422389884153384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16879561 (or 16879547 counting only the distinct ones).

The product of its digits is 1274019840, while the sum is 72.

The spelling of 422389884153384 in words is "four hundred twenty-two trillion, three hundred eighty-nine billion, eight hundred eighty-four million, one hundred fifty-three thousand, three hundred eighty-four".