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482487426432 = 273211243101797
BaseRepresentation
bin1110000010101100111…
…11011101110110000000
31201010101101012210120200
413001112133131312000
530401113240121212
61005352432005200
746600326312504
oct7012637356600
91633341183520
10482487426432
11176692634800
1279614090800
1336662bbc4cb
14194d1438304
15c83d45c6dc
hex70567ddd80

482487426432 has 576 divisors, whose sum is σ = 1579031934480. Its totient is φ = 141216768000.

The previous prime is 482487426367. The next prime is 482487426433. The reversal of 482487426432 is 234624784284.

482487426432 is a `hidden beast` number, since 4 + 82 + 48 + 74 + 26 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4824874264322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482487426433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 605379058 + ... + 605379854.

Almost surely, 2482487426432 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 482487426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789515967240).

482487426432 is an abundant number, since it is smaller than the sum of its proper divisors (1096544508048).

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

482487426432 is a wasteful number, since it uses less digits than its factorization.

482487426432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 957 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 54.

The spelling of 482487426432 in words is "four hundred eighty-two billion, four hundred eighty-seven million, four hundred twenty-six thousand, four hundred thirty-two".