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645430241430 = 232513172361101229
BaseRepresentation
bin10010110010001101010…
…00111110100010010110
32021200222010212102211200
421121012220332202112
541033320120211210
61212301230013330
764426235350332
oct11310650764226
92250863772750
10645430241430
112297a85aa377
12a5109347246
1348b2ca3aa80
142334bb0a7c2
1511bc84450c0
hex9646a3e896

645430241430 has 768 divisors, whose sum is σ = 2058483248640. Its totient is φ = 138682368000.

The previous prime is 645430241411. The next prime is 645430241437. The reversal of 645430241430 is 34142034546.

645430241430 is a `hidden beast` number, since 64 + 5 + 430 + 24 + 143 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645430241437) 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 383 ways as a sum of consecutive naturals, for example, 2818472556 + ... + 2818472784.

It is an arithmetic number, because the mean of its divisors is an integer number (2680316730).

Almost surely, 2645430241430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645430241430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029241624320).

645430241430 is an abundant number, since it is smaller than the sum of its proper divisors (1413053007210).

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

645430241430 is a wasteful number, since it uses less digits than its factorization.

645430241430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 645430241430 its reverse (34142034546), we get a palindrome (679572275976).

The spelling of 645430241430 in words is "six hundred forty-five billion, four hundred thirty million, two hundred forty-one thousand, four hundred thirty".