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53780856649 = 132178392
BaseRepresentation
bin110010000101100101…
…101011111101001001
312010211002011120220121
4302011211223331021
51340120344403044
640412342223241
73612511511302
oct620545537511
9163732146817
1053780856649
1120898989673
12a50b124b21
1350c1163900
14286291b7a9
1515eb77d984
hexc8596bf49

53780856649 has 9 divisors (see below), whose sum is σ = 58239340263. Its totient is φ = 49641084792.

The previous prime is 53780856631. The next prime is 53780856653. The reversal of 53780856649 is 94665808735.

The square root of 53780856649 is 231907.

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

It can be written as a sum of positive squares in only one way, i.e., 7955748025 + 45825108624 = 89195^2 + 214068^2 .

It is not a de Polignac number, because 53780856649 - 217 = 53780725577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53780850649) 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 8 ways as a sum of consecutive naturals, for example, 3005872 + ... + 3023710.

It is an arithmetic number, because the mean of its divisors is an integer number (6471037807).

Almost surely, 253780856649 is an apocalyptic number.

53780856649 is the 231907-th square number.

53780856649 is the 115954-th centered octagonal number.

It is an amenable number.

53780856649 is a deficient number, since it is larger than the sum of its proper divisors (4458483614).

53780856649 is an frugal number, since it uses more digits than its factorization.

53780856649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35704 (or 17852 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 53780856649 in words is "fifty-three billion, seven hundred eighty million, eight hundred fifty-six thousand, six hundred forty-nine".

Divisors: 1 13 169 17839 231907 3014791 318229921 4136988973 53780856649