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645430345504 = 25717379294931
BaseRepresentation
bin10010110010001101010…
…01010111111100100000
32021200222011001201121021
421121012221113330200
541033320132024004
61212301232135224
764426236262630
oct11310651277440
92250864051537
10645430345504
112297a867058a
12a5109397514
1348b2ca76259
142334bb366c0
1511bc8465d54
hex9646a57f20

645430345504 has 192 divisors, whose sum is σ = 1581221295360. Its totient is φ = 252981411840.

The previous prime is 645430345501. The next prime is 645430345523. The reversal of 645430345504 is 405543034546.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (645430345501) 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 31 ways as a sum of consecutive naturals, for example, 130889919 + ... + 130894849.

It is an arithmetic number, because the mean of its divisors is an integer number (8235527580).

Almost surely, 2645430345504 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 645430345504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790610647680).

645430345504 is an abundant number, since it is smaller than the sum of its proper divisors (935790949856).

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

645430345504 is a wasteful number, since it uses less digits than its factorization.

645430345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 43.

The spelling of 645430345504 in words is "six hundred forty-five billion, four hundred thirty million, three hundred forty-five thousand, five hundred four".