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63439000641 = 3259214232
BaseRepresentation
bin111011000101010000…
…100101010001000001
320001202011200010202100
4323011100211101001
52014410341010031
645050553541013
74404035415432
oct730520452101
9201664603670
1063439000641
11249a4731155
1210365714769
135ca0089a03
1430db4d3489
1519b4610de6
hexec5425441

63439000641 has 27 divisors (see below), whose sum is σ = 93279107649. Its totient is φ = 41546625192.

The previous prime is 63439000631. The next prime is 63439000643. The reversal of 63439000641 is 14600093436.

The square root of 63439000641 is 251871.

It is a perfect power (a square), and thus also a powerful number.

63439000641 is a `hidden beast` number, since 6 + 3 + 4 + 3 + 9 + 0 + 0 + 0 + 641 = 666.

It is a de Polignac number, because none of the positive numbers 2k-63439000641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63439000596 and 63439000605.

It is not an unprimeable number, because it can be changed into a prime (63439000643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44580456 + ... + 44581878.

Almost surely, 263439000641 is an apocalyptic number.

63439000641 is the 251871-st square number.

63439000641 is the 125936-th centered octagonal number.

It is an amenable number.

63439000641 is a deficient number, since it is larger than the sum of its proper divisors (29840107008).

63439000641 is an frugal number, since it uses more digits than its factorization.

63439000641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 63439000641 by its sum of digits (36), we get a square (2283804023076 = 15112262).

The spelling of 63439000641 in words is "sixty-three billion, four hundred thirty-nine million, six hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 59 177 531 1423 3481 4269 10443 12807 31329 83957 251871 755613 2024929 4953463 6074787 14860389 18224361 44581167 119470811 358412433 1075237299 7048777849 21146333547 63439000641