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422634056832 = 273313193115971
BaseRepresentation
bin1100010011001101111…
…00111110110010000000
31111101220002112120221000
412021212330332302000
523411023304304312
6522053322332000
742351160131621
oct6114674766200
91441802476830
10422634056832
111532689a8299
1269aab35a000
1330b14951590
1416654233a48
15aed8a20adc
hex6266f3ec80

422634056832 has 512 divisors, whose sum is σ = 1459713024000. Its totient is φ = 119215411200.

The previous prime is 422634056797. The next prime is 422634056839. The reversal of 422634056832 is 238650436224.

422634056832 is a `hidden beast` number, since 4 + 2 + 2 + 634 + 0 + 5 + 6 + 8 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (422634056839) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26454607 + ... + 26470577.

It is an arithmetic number, because the mean of its divisors is an integer number (2851002000).

Almost surely, 2422634056832 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 422634056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729856512000).

422634056832 is an abundant number, since it is smaller than the sum of its proper divisors (1037078967168).

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

422634056832 is a wasteful number, since it uses less digits than its factorization.

422634056832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16057 (or 16039 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 422634056832 in words is "four hundred twenty-two billion, six hundred thirty-four million, fifty-six thousand, eight hundred thirty-two".