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1338318625 = 53721712853
BaseRepresentation
bin100111111000101…
…0001111100100001
310110021021122000111
41033301101330201
510220102144000
6340444451321
745110343400
oct11761217441
93407248014
101338318625
1162749a656
12314249b41
13184363417
14c9a57637
157c75dcba
hex4fc51f21

1338318625 has 48 divisors (see below), whose sum is σ = 2057359824. Its totient is φ = 863654400.

The previous prime is 1338318623. The next prime is 1338318647. The reversal of 1338318625 is 5268138331.

It can be written as a sum of positive squares in 8 ways, for example, as 416649744 + 921668881 = 20412^2 + 30359^2 .

It is not a de Polignac number, because 1338318625 - 21 = 1338318623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338318623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97699 + ... + 110551.

It is an arithmetic number, because the mean of its divisors is an integer number (42861663).

Almost surely, 21338318625 is an apocalyptic number.

It is an amenable number.

1338318625 is a deficient number, since it is larger than the sum of its proper divisors (719041199).

1338318625 is a wasteful number, since it uses less digits than its factorization.

1338318625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12899 (or 12882 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 1338318625 is about 36583.0373943991. The cubic root of 1338318625 is about 1102.0124660564.

The spelling of 1338318625 in words is "one billion, three hundred thirty-eight million, three hundred eighteen thousand, six hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 125 175 245 425 595 833 875 1225 2125 2975 4165 6125 12853 14875 20825 64265 89971 104125 218501 321325 449855 629797 1092505 1529507 1606625 2249275 3148985 5462525 7647535 10706549 11246375 15744925 27312625 38237675 53532745 78724625 191188375 267663725 1338318625