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422730131328 = 27324188110159
BaseRepresentation
bin1100010011011001010…
…11011110011110000000
31111102010210022200100200
412021230223132132000
523411222403200303
6522111033445200
742353434554321
oct6115453363600
91442123280320
10422730131328
111533081584aa
1269b17570800
1330b2b81c3ab
1416662cc2448
15aee219c3a3
hex626cade780

422730131328 has 192 divisors, whose sum is σ = 1247656737600. Its totient is φ = 137303654400.

The previous prime is 422730131303. The next prime is 422730131371. The reversal of 422730131328 is 823131037224.

422730131328 is a `hidden beast` number, since 4 + 2 + 27 + 301 + 3 + 1 + 328 = 666.

It is a Cunningham number, because it is equal to 6501772-1.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 422730131292 and 422730131301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41606313 + ... + 41616471.

It is an arithmetic number, because the mean of its divisors is an integer number (6498212175).

Almost surely, 2422730131328 is an apocalyptic number.

422730131328 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 422730131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623828368800).

422730131328 is an abundant number, since it is smaller than the sum of its proper divisors (824926606272).

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

422730131328 is a wasteful number, since it uses less digits than its factorization.

422730131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101 (or 11086 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 422730131328 in words is "four hundred twenty-two billion, seven hundred thirty million, one hundred thirty-one thousand, three hundred twenty-eight".