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10448060663716 = 221321727121032
BaseRepresentation
bin1001100000001010000011…
…1100011100011110100100
31100222211021022102022012021
42120002200330130132210
52332140112012214331
634115434532032524
72125563453216364
oct230024074343644
940884238368167
1010448060663716
113368aa7956405
121208aa2462744
135aa32b80c300
142819902389a4
15131ba0d03211
hex980a0f1c7a4

10448060663716 has 243 divisors, whose sum is σ = 21541423693923. Its totient is φ = 4431158484480.

The previous prime is 10448060663683. The next prime is 10448060663717. The reversal of 10448060663716 is 61736606084401.

The square root of 10448060663716 is 3232346.

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

It can be written as a sum of positive squares in 4 ways, for example, as 94338665316 + 10353721998400 = 307146^2 + 3217720^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10448060663717) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 101437482121 + ... + 101437482223.

Almost surely, 210448060663716 is an apocalyptic number.

10448060663716 is the 3232346-th square number.

It is an amenable number.

10448060663716 is an abundant number, since it is smaller than the sum of its proper divisors (11093363030207).

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

10448060663716 is a wasteful number, since it uses less digits than its factorization.

10448060663716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 10448060663716 in words is "ten trillion, four hundred forty-eight billion, sixty million, six hundred sixty-three thousand, seven hundred sixteen".